Question

A right - angled triangle is isosceles. if the of the hypotenuse is 50m, what is the length of equal sides ?​

Answer 1

An isosceles triangle contains two sides of equal lengths.

According to Pythagoras theorem, in a right angled triangle.

(Hypotenuse)2=(base)2+(height)2

Given that, (Hypotenuse)2=50 m

Let base = height = x m

According to Pythagoras theorem,

x2+x2=50

2x2=50

x2=25

x=5 m

So, length of base and height of the triangle is 5 m.