Question

∆ABC is a right angled triangle, where AB = 5cm, BC = 10cm, AC = 15cm.

(a) False

(b) True

The question was asked in an interview for job.

I'm obligated to ask this question of Pythagoras Theorem in division Triangles of Mathematics – Class 10

Answer 1

Right choice is (a) False

Easy explanation: If ∆ABC is a right angled triangle, then it should satisfy the Pythagoras Theorem.

AB = 5cm, BC = 10cm, AC = 15cm

AB^2 + BC^2 = 5^2 + 10^2 = 25 + 100 = 125

AC^2 = 15^2 = 225

Since, AC^2 ≠ AB^2 + BC^2

Hence, ABC is not a right-angled triangle.