Question

In a right angled triangle if one side forming the right angle is 6 and the hypotenuse is 10. What is the length of the other right angle forming side?

(a) 8

(b) 10

(c) 12

(d) 6

This question was posed to me by my school principal while I was bunking the class.

I want to ask this question from Pythagorean Triplet topic in section Squares and Square Roots of Mathematics – Class 8

Answer 1

The correct answer is (a) 8

To explain: In a right angle triangle we can use Pythagoras theorem. This theorem states that the square of the hypotenuse is equal to the sum of squares of the other two right angle forming sides. Let us assume the one of the sides of the right angled triangle be x.

∴ 6^2+x^2=10^2,

∴ x^2=100-36,

∴ x=8.