A triangle ABC is right-angled at B. AB = 6 cm and BC = 8 cm. What is the length of AC?

2 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

10 cm

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

4 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

5 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
10 cm

Given that

A triangle is right-angled at B.

AB = 6 cm and BC = 8 cm.

By Pythagoras theorem,

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

On substituting the values we get:

$6^{2} + 8^{2} = A C^{2}$

$\Rightarrow A C^{2} = 100$

$\Rightarrow A C = \sqrt{100}$

$\Rightarrow A C = 10$

Suggest Corrections

Similar questions

A B C, ∠ B = 90^{\circ}

A B = 6 c m, B C = 8 c m

A C

In a right triangle ABC, ∠B = 90°.

(a) If AB = 6 cm, BC = 8 cm, find AC

(b) If AC = 13 cm, BC = 5 cm, find AB

In the figure given below, ABC is a right triangle right-angled at B such that BC = 6 cm and AB = 8 cm. Find the radius of its incircle.

Join BYJU'S Learning Program