A rectangle is inscribed in a square creating four isosceles right triangle If the total area of those four triangles is 200 The length of the diagonal of the rectangle is

EASY

Mathematics>Geometry>Geometry>Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

The area of a right angled triangle having base

24

cm

and hypotenuse

25

cm

is_____.

MEDIUM

Mathematics>Geometry>Geometry>Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

In $△ A B C, A D$ is the median and $G$ is a point on $A D$ such that $A G : G D = 2 : 1$ . Then area $(△ B D G) :$ area $(△ A B C)$ is equal to:

EASY

Mathematics>Geometry>Geometry>Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

Triangle PDC is drawn inside the square ABCD of side

24 cm

where P lies on AB. What is the area of the triangle?

MEDIUM

Mathematics>Geometry>Geometry>Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

In a triangle, angles are in the ratio of

1 : 1 : 2

and the length of its longest side is

6 \sqrt{2} cm

, then what is the Area (in

{cm}^{2}

) of the triangle?

MEDIUM

Mathematics>Geometry>Geometry>Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

The length of each equal side of an isosceles triangle is

10 c m

and the included angle between those two sides is

45 ° .

Find the area of the triangle.

EASY

Mathematics>Geometry>Geometry>Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

The sides of an isosceles triangle are

10 cm

,

10 cm

and

12 cm

. What is the area of the triangle?

EASY

Mathematics>Geometry>Geometry>Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

The length of each equal side of an isosceles triangle is

15 cm

and the included angle between those two sides is

90 °

, Find the area of the triangle.

EASY

Mathematics>Geometry>Geometry>Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

The hypotenuse of a right-angled triangle is $39 cm$ and the difference of other two sides is $21 cm$ . Then, the area of the triangle is:

MEDIUM

Mathematics>Geometry>Geometry>Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

The three sides of a triangle are $15 c m, 36 c m, a n d 39 c m$ long. A small triangle is formed by joining the mid points of the three sides of this triangle. The area of small triangle will be_____ $c m^{2}$

HARD

Mathematics>Geometry>Geometry>Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

What will be the area of triangle whose vertices are

(1, 2), (- 4, - 3)

and

(4, 1)

?

EASY

Mathematics>Geometry>Geometry>Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

If the height of an equilateral triangle is

20 \sqrt{2} cm

, then what is its area (in

{cm}^{2}

)?

MEDIUM

Mathematics>Geometry>Geometry>Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

Consider four triangles having sides

(5, 12, 9), (5, 12, 11), (5, 12, 13)

and

(5, 12, 15)

. Among these the triangle having maximum area has sides

EASY

Mathematics>Geometry>Geometry>Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

The base and hypotenuse of a right-angled triangle are

9 cm and 41 cm

respectively. What is the area of the reiangle?

HARD

Mathematics>Geometry>Geometry>Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

In a quadrilateral

A B C D,

it is given that

A B = A D = 13, B C = C D = 20, B D = 24 .

If

r

is the radius of the circle inscribable in the quadrilateral, then what is the integer closest to

r ?

EASY

Mathematics>Geometry>Geometry>Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

The side of an equilateral triangle is

4 cm

. Wat is its area?

MEDIUM

Mathematics>Geometry>Geometry>Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

If

a, b, c

are the sides of a

∆ A B C

and exradii

r_{1}, r_{2}, r_{3}

are respectively

12, 6, 4

then

a + 2 b + 3 c =

MEDIUM

Mathematics>Geometry>Geometry>Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

What is the area of the triangle having sides

35 cm, 84 cm

and

91 cm

?

EASY

Mathematics>Geometry>Geometry>Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

What is the area (in

c m^{2}

) of an equilateral triangle whose side is

12 c m

?

EASY

Mathematics>Geometry>Geometry>Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

A triangular corner is cut from a rectangular piece of paper and the resulting pentagon has sides

5, 6, 8, 9, 12

in some order. The ratio of the area of the pentagon to the area of the rectangle is-

EASY

Mathematics>Geometry>Geometry>Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

If the sides of triangle are

4, 5

and

6 cm

.

Then the area (in sq cm) of triangle is

A rectangle is inscribed in a square creating four isosceles right triangle. If the total area of those four triangles is $200$ . The length of the diagonal of the rectangle is :

Important Questions on Geometry

Learn and Prepare for any exam you want !

A rectangle is inscribed in a square creating four isosceles right triangle. If the total area of those four triangles is 200. The length of the diagonal of the rectangle is :

Important Questions on Geometry

Learn and Prepare for any exam you want !

A rectangle is inscribed in a square creating four isosceles right triangle. If the total area of those four triangles is $200$ . The length of the diagonal of the rectangle is :