EASY

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

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Important Questions on The Triangle and its Properties

EASY

Mathematics>Geometry>The Triangle and its Properties>Equilateral and Isosceles Triangle

∆

D E F

is right angled at E. If m

∠ F = 30^{o}

, then find the value of

[\cos D - \frac{1}{\sqrt{2}}]

EASY

Mathematics>Geometry>The Triangle and its Properties>Equilateral and Isosceles Triangle

The length of side

A B

and side

B C

of a scalene triangle

A B C

are

12 cm

and

8 cm

respectively. The measure of angle

C

59 °

. Find the length of side

A C

EASY

Mathematics>Geometry>The Triangle and its Properties>Equilateral and Isosceles Triangle

△ A B C,

the measure of angle

∠ A B C

90 °

. If

tan A = \frac{12}{5},

and

A B = 1 c m

, then what is the length (in

c m

) of side

B C ?

MEDIUM

Mathematics>Geometry>The Triangle and its Properties>Equilateral and Isosceles Triangle

∆ A B C, ∠ A = 90 °

M

is the midpoint of

B C

and

D

is the point on

B C

such that

A D ⊥ B C

. If

A B = 7 c m

and

A C = 24 c m

, then

A D : A M

is equal to?

EASY

Mathematics>Geometry>The Triangle and its Properties>Equilateral and Isosceles Triangle

In the given figure

△ ABC

, if

θ = 80 °,

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

EASY

Mathematics>Geometry>The Triangle and its Properties>Equilateral and Isosceles Triangle

∆

P Q R

measure of angle

Q

90^{o}

. If

\tan P = \frac{24}{7}

and

P Q = 14 c m

, then what is the length of side

Q R

in cm.

HARD

Mathematics>Geometry>The Triangle and its Properties>Equilateral and Isosceles Triangle

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

EASY

Mathematics>Geometry>The Triangle and its Properties>Equilateral and Isosceles Triangle

What is the perimeter of a right-angled triangle whose sides (making

90 °

) are

20 \sqrt{3} cm and 15 \sqrt{3} cm

EASY

Mathematics>Geometry>The Triangle and its Properties>Equilateral and Isosceles Triangle

What is the area of a triangle whose sides are

7 cm, 24 cm and 25 cm ?

EASY

Mathematics>Geometry>The Triangle and its Properties>Equilateral and Isosceles Triangle

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>The Triangle and its Properties>Equilateral and Isosceles Triangle

Δ ABC, A B = c cm, A C = b cm

and

C B = a cm

. If

∠ A = 2 ∠ B

, then which of the following is true?

MEDIUM

Mathematics>Geometry>The Triangle and its Properties>Equilateral and Isosceles Triangle

In a Triangle , if

AB = AC

and

∠ ABC = 72 °

, then

∠ BAC

is:

EASY

Mathematics>Geometry>The Triangle and its Properties>Equilateral and Isosceles Triangle

BD and CE are the medians of

△ A B C

, right angles at A. If CE

= \frac{5 \sqrt{13}}{2} cm

, BC

= 10 cm

, then the length of BD is ____.

MEDIUM

Mathematics>Geometry>The Triangle and its Properties>Equilateral and Isosceles Triangle

For a Right angled triangle, two connected sides are 1.5 & 2 cm. Find the area of circumcircle?

MEDIUM

Mathematics>Geometry>The Triangle and its Properties>Equilateral and Isosceles Triangle

In a right-angled triangle

ABC

right angled at

C, \sin A = \sin B

. What is the value of

\cos A ?

MEDIUM

Mathematics>Geometry>The Triangle and its Properties>Equilateral and Isosceles Triangle

Triangles ABC and DBC are right-angled triangles with common hypotenuse BC, BD, and AC intersect at P when produced. If

PA = 8 cm, PC = 4 cm

and

PD = 3.2 cm

, then the length of BD in cm is:

EASY

Mathematics>Geometry>The Triangle and its Properties>Equilateral and Isosceles Triangle

In triangle ABC, if

∠ B = 90 °, A B = 21 cm and BC = 20 cm

, then

\frac{1 + \sin A - \cos A}{1 + \sin A + \cos A}

is equal to:

MEDIUM

Mathematics>Geometry>The Triangle and its Properties>Equilateral and Isosceles Triangle

∆ 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:

EASY

Mathematics>Geometry>The Triangle and its Properties>Equilateral and Isosceles Triangle

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>The Triangle and its Properties>Equilateral and Isosceles Triangle

The side of an equilateral triangle is

10 c m

. Find its area (in

c m^{2}

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

Important Questions on The Triangle and its Properties

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