Question

a side of an isosceles right angled triangle is X. find its hypotenuse

Answer 1

Hi your ans is give below

Answer 2

Isoceles Right angle triangle. This implies that the two angles other than the right angle are equal. So we get the unknown angles as :

2x + 90 = 180

2x = 180 - 90

2x = 90

x = 90 / 2 = 45 degrees

So the unknown angle is 45 degrees.

Let the 2 equal sides be x. So applying Pythogoras Theorem we get,

( x )² + ( x )² = Hypotenuse²

2x² = Hypotenuse²

=> Hypotenuse = √2x² = x √ 2 units

Therefore hypotenuse measure is x√2 units.