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The sides of a right angled triangle containing the right angle are $5 x c m$ and $(3 x - 1) c m .$ If area of the triangle is $60 c m^{2},$ calculate the lengths of the sides of the triangle.

Important Questions on Triangles

MEDIUM

Mathematics>Geometry>Triangles>Application of Pythagoras Theorem

In the given figure, if

AB = 8 cm

AC = 10 cm

∠ ABD = 90 °

and

AD = 17 cm

, then the measure of

CD

is:

MEDIUM

Mathematics>Geometry>Triangles>Application of Pythagoras Theorem

In a

△ ABC

, D and E are points on the sides

AC

and

BC

, respectively such that

DE

∥

AB

. F is the point on

CE

such that

DF

∥

AE

. If

CE

= 6 cm

, and

CF

x = \frac{- 8}{3}

, then

BC

is equal to:
Question Image

EASY

Mathematics>Geometry>Triangles>Application of Pythagoras Theorem

In a triangle, if the measures of two sides are

5 cm

and

8 cm

, then the third side can be:

EASY

Mathematics>Geometry>Triangles>Application of Pythagoras Theorem

△ ABC

, if the ratio of angles is in the proportion

3 : 5 : 4

, then the difference between the biggest and the smallest angles (in degrees) is:

EASY

Mathematics>Geometry>Triangles>Application of Pythagoras Theorem

The angles of a triangle are in the ratio of 1 : 2 : 3. What is the measure of the smallest angle (in degrees)?

MEDIUM

Mathematics>Geometry>Triangles>Application of Pythagoras Theorem

In a triangle

ABC

DE

is parallel to

BC

;

AD = a

DB = a + 4

AE = 2 a + 3

EC = 7 a

. What is the value of

' a'

a > 0

EASY

Mathematics>Geometry>Triangles>Application of Pythagoras Theorem

If angles of a triangle are in the ratio of

2 : 3 : 4

, then the measure of the smallest angle is:

MEDIUM

Mathematics>Geometry>Triangles>Application of Pythagoras Theorem

Let

∆ ABC ~ ∆ RPQ

and

\frac{ar (∆ ABC)}{ar (∆ PQR)} = \frac{4}{9}

. If

AB = 3 cm

BC = 4 cm

and

AC = 5 cm

, then

RP

(in

cm

) is equal to:

EASY

Mathematics>Geometry>Triangles>Application of Pythagoras Theorem

In the triangle

A B C

∠ B A C = 50 °

and the bisectors of

∠ A B C

and

∠ A C B

meets at

P

. What is the value (in degrees) of

∠ B P C

EASY

Mathematics>Geometry>Triangles>Application of Pythagoras Theorem

△ P Q R

∠ R = 54 °

, the perpendicular bisector of

P Q

S

meets

Q R

T

. If

∠ T P R = 46 °

, then what is the value(in degrees) of

∠ P Q R

EASY

Mathematics>Geometry>Triangles>Application of Pythagoras Theorem

Arrange the angles of the triangle from smallest to largest in the triangle, where the sides are

AB = 7 cm, AC = 8 cm

and

AC = 9 cm

EASY

Mathematics>Geometry>Triangles>Application of Pythagoras Theorem

What is the measure of an exterior angle of a regular polygon of

6

sides?

EASY

Mathematics>Geometry>Triangles>Application of Pythagoras Theorem

△ ABC

, D is a point on BC such that AD is the bisector of

∠ A

, AB

= 11.7 cm

, AC

= 7.8 cm

and BC

= 13 cm

. What is the length of DC (in

cm

EASY

Mathematics>Geometry>Triangles>Application of Pythagoras Theorem

In the given figure, the measure of $∠ BAC$ is:

Question Image

EASY

Mathematics>Geometry>Triangles>Application of Pythagoras Theorem

△ ABC, ∠ A = 54 °

. If

I

is the incentre of the triangle, then the measure of

∠ BIC

is _____.

MEDIUM

Mathematics>Geometry>Triangles>Application of Pythagoras Theorem

S

is the incentre of

∆ PQR

. If

∠ PSR = 125^{°}

, then the measure of

∠ PQR

is:

MEDIUM

Mathematics>Geometry>Triangles>Application of Pythagoras Theorem

∆ ABD

C

is the midpoint of

BD

. If

AB = 10 cm

AD = 12 cm

and

AC = 9 cm

then

BD =

EASY

Mathematics>Geometry>Triangles>Application of Pythagoras Theorem

The perimeters of two similar triangles

A B C

and

P Q R

are

78 cm

and

46.8 cm

respectively. If

P Q

=

11.7

, then the length of

A B

is:

EASY

Mathematics>Geometry>Triangles>Application of Pythagoras Theorem

The measures of the sides of a triangle are 7, 8 and 9 cm. Find the length of the largest side of a similar triangle whose shortest side is 35 cm.

(A) 55 cm

(B) 40 cm

(D) 50 cm

MEDIUM

Mathematics>Geometry>Triangles>Application of Pythagoras Theorem

∆ A B D

C

is the midpoint of

B D

. If

A B

= 10

cm, AD

= 12

cm and

A C

= 9

cm, then

B D = ?

The sides of a right angled triangle containing the right angle are 5x cm and 3x-1 cm . If area of the triangle is 60 cm2, calculate the lengths of the sides of the triangle.

Important Questions on Triangles

Learn and Prepare for any exam you want !

The sides of a right angled triangle containing the right angle are $5 x c m$ and $(3 x - 1) c m .$ If area of the triangle is $60 c m^{2},$ calculate the lengths of the sides of the triangle.