In triangle ABC, AB = 24 cm, BC = 10 cm and AC = 26 cm. Is this triangle a right triangle? Give reasons for your answer

Solution:

Given, the sides of a triangle are

AB = 24cm

BC = 10cm

AC = 24cm.

We have to find if the given sides of a triangle form a right triangle.

By using Pythagoras theorem for a right triangle,

a² = b² + c²

AC² = AB² + BC²

So, (26)² = (10)² + (24)²

LHS: (10)² + (24)²

= 100 + 576

= 676

RHS: (26)²

= 676

LHS = RHS

Since the Pythagorean theorem is satisfied, the given sides do not form a right triangle.

Therefore, the triangle with sides 24cm, 10cm and 24cm is a right triangle.

✦ Try This: Is the triangle with sides 5cm, 6cm and 9cm a right triangle? Give reasons for your answer

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 6

NCERT Exemplar Class 10 Maths Exercise 6.2 Sample Problem 1

In triangle ABC, AB = 24 cm, BC = 10 cm and AC = 26 cm. Is this triangle a right triangle? Give reasons for your answer

Summary:

The triangle ABC with sides AB = 24 cm, BC = 10 cm and AC = 26 cm is a right triangle

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