MATHEMATICS Textbook for Class X>Chapter 6 - Triangles>Exercise 6.5>Q 1

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IMPORTANT

Earn 100

Sides of a triangle are given below. Determine if it is a right triangle. In case of a right triangle, write the length of its hypotenuse.
$7 c m, 24 c m, 25 c m$

Important Questions on Triangles

EASY

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IMPORTANT

MATHEMATICS Textbook for Class X>Chapter 6 - Triangles>Exercise 6.5>Q 1

Sides of triangles are given below. Determine which of them are right triangles. In case of a right triangle, write the length of its hypotenuse.

3 c m, 8 c m, 6 c m

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IMPORTANT

MATHEMATICS Textbook for Class X>Chapter 6 - Triangles>Exercise 6.5>Q 1

Sides of triangles are given below. Determine which of them are right triangles. In case of a right triangle, write the length of its hypotenuse.

50 c m, 80 c m, 100 c m

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IMPORTANT

MATHEMATICS Textbook for Class X>Chapter 6 - Triangles>Exercise 6.5>Q 1

The sides of a triangle are given below. Determine whether it is a right triangle. In case of a right triangle, write the length of its hypotenuse.

13 c m, 12 c m, 5 c m

.

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IMPORTANT

MATHEMATICS Textbook for Class X>Chapter 6 - Triangles>Exercise 6.5>Q 2

P Q R

is a triangle right-angled at

P

and

M

is a point on

Q R

such that

P M ⊥ Q R

. Show that

P M^{2} = Q M . M R

.

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IMPORTANT

MATHEMATICS Textbook for Class X>Chapter 6 - Triangles>Exercise 6.5>Q 3

In the figure given below, $A B D$ is a triangle right-angled at $A$ and $A C ⊥ B D$ . Show that $A B^{2} = B C \cdot B D$ .

Question Image

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MATHEMATICS Textbook for Class X>Chapter 6 - Triangles>Exercise 6.5>Q 3

In the figure,

A B D

is a triangle right-angled at

A

and

A C ⊥ B D

. Show that

A C^{2} = B C \cdot D C

Question Image

MEDIUM

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IMPORTANT

MATHEMATICS Textbook for Class X>Chapter 6 - Triangles>Exercise 6.5>Q 3

In Fig.

A B D

is a triangle right-angled at

A

and

A C ⊥ B D

. Show that

A D^{2} = B D \cdot C D

Question Image

EASY

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IMPORTANT

MATHEMATICS Textbook for Class X>Chapter 6 - Triangles>Exercise 6.5>Q 4

A B C

is an isosceles triangle right-angled at

C

. Prove that

{A B}^{2} = 2 {A C}^{2}

.