HARD

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I have three sides. One of my angle measure $60 °$ . Another has a measure of $60 °$ . What kind of a polygon am I? If I am a triangle, then what kind of triangle am I?

Important Questions on Properties of a Triangle

HARD

Mathematics>Geometry>Properties of a Triangle>Properties of Triangles

The centre of the circle passing through the midpoints of the sides of an isosceles triangle

A B C

lies on the circumcircle of triangle

A B C

. If the larger angle of triangle

A B C

α °

and the smaller one is

β °

, then what is the value of

α - β

MEDIUM

Mathematics>Geometry>Properties of a Triangle>Properties of Triangles

∆ ABC

is an equilateral triangle with side

18 cm .

D is a point on BC such that BD

= \frac{1}{3} BC

. Then length (in cm) of A D is:

MEDIUM

Mathematics>Geometry>Properties of a Triangle>Properties of Triangles

In a Triangle , if

AB = AC

and

∠ ABC = 72 °

, then

∠ BAC

is:

EASY

Mathematics>Geometry>Properties of a Triangle>Properties of Triangles

The sum of all the three sides of an equilateral triangle is

15 \sqrt{3} cm

. The height of the triangle is_____.

EASY

Mathematics>Geometry>Properties of a Triangle>Properties of Triangles

In the given figure

△ ABC

, if

θ = 80 °,

the measure of each of the other two angles will be:
Question Image

EASY

Mathematics>Geometry>Properties of a Triangle>Properties of Triangles

The perimeter of an isosceles triangle is

50 cm

. If the base is

18 cm

, then find the length of the equal sides.

EASY

Mathematics>Geometry>Properties of a Triangle>Properties of Triangles

The side of an equilateral triangle is

10 c m

. Find its area (in

c m^{2}

EASY

Mathematics>Geometry>Properties of a Triangle>Properties of Triangles

In the adjoining figure,

A B = B C, A C = A E, C E = A E, A F = E F, ∠ A B C = 90 °, ∠ C D E = 90 ° .

(Same markings show equal sides in a triangle)
Name the triangles that are equilateral.
Question Image

EASY

Mathematics>Geometry>Properties of a Triangle>Properties of Triangles

∆ ABC

all sides are of same length, then each angle will be _____.

EASY

Mathematics>Geometry>Properties of a Triangle>Properties of Triangles

Draw an example of equiangular obtuse angled triangle. If not possible, give reason.

EASY

Mathematics>Geometry>Properties of a Triangle>Properties of Triangles

Draw an example of equilateral acute angled triangle. If not possible, give reason.

EASY

Mathematics>Geometry>Properties of a Triangle>Properties of Triangles

The altitude of an equilateral triangle of side

\frac{2}{\sqrt{3}} c m

is:

EASY

Mathematics>Geometry>Properties of a Triangle>Properties of Triangles

∆ ABC

is an isosceles triangle with

AB = AC

and

∠ A = 80^{o}

then

∠ ABC

will be _____.

EASY

Mathematics>Geometry>Properties of a Triangle>Properties of Triangles

In the adjoining figure,

A B = B C, A C = A E, C E = A E, A F = E F, ∠ A B C = 90 °, ∠ C D E = 90 ° .

(Same markings show equal sides in a triangle)
Name the triangles that are isosceles.
Question Image

MEDIUM

Mathematics>Geometry>Properties of a Triangle>Properties of Triangles

A B C

and

D B C

are two isosceles triangles on the same base

B C

as shown in the figure. Show that

∠ A B D = ∠ A C D

EASY

Mathematics>Geometry>Properties of a Triangle>Properties of Triangles

Find the area of an equilateral triangle each of whose sides measures

20 cm

[Take

\sqrt{3} = 1.73

]

EASY

Mathematics>Geometry>Properties of a Triangle>Properties of Triangles

The perpendicular drawn from the vertex to the opposite side bisects the base of isosceles and _____triangles.

MEDIUM

Mathematics>Geometry>Properties of a Triangle>Properties of Triangles

The value of $x$ in the figure, where $∆ PQR$ is isosceles with $PQ = PR$ will be _____.

Question Image

EASY

Mathematics>Geometry>Properties of a Triangle>Properties of Triangles

A B C

is an isosceles triangle with

A B = A C

and

A D

is an altitude, then

MEDIUM

Mathematics>Geometry>Properties of a Triangle>Properties of Triangles

In $△ A B C, ∠ C = ∠ A$ and $B C = 6 cm, A C = 5 cm$ . Then the length of $A B$ is

I have three sides. One of my angle measure 60°. Another has a measure of 60°. What kind of a polygon am I? If I am a triangle, then what kind of triangle am I?

Important Questions on Properties of a Triangle

Learn and Prepare for any exam you want !

I have three sides. One of my angle measure $60 °$ . Another has a measure of $60 °$ . What kind of a polygon am I? If I am a triangle, then what kind of triangle am I?