Question

Which vertex of ΔABC is right angled if AB = 8 cm, AC= 6 cm,and BC = 10 cm,?​

Answer 1

Answer:

angle a will be right angled

Step-by-step explanation:

Answer 2

Given:

AB = 8cm

AC = 6cm

BC = 10cm

To find:

Right angled vertex of ΔABC

Solution:

• In a right-angled triangle, the hypotenuse is the longer side.

So, BC = 10cm is the hypotenuse.

• The angle opposite to the hypotenuse is the right angle.

So, ∠BAC is 90°.

Verification:

(Hypotenuse)² = (base)² + (height)²

(BC)² = (AC)² + (AB)²

10² = 6² + 8²

100 = 100

Hence, ∠BAC is 90°.