Question

The square of the hypotenuse of an isosceles right angled triangle is 50 cm. what is the length of each side?

Answer 1

we can say that the sides of triangle were x,xand y
so we have
x²+x²=50
2x²= 50
x²=25
x=5 cm

Answer 2

Therefore the length of each side is $5$ cm

Step-by-step explanation:

Suppose the length of each of two equal sides of an isosceles triangle is $a$ cm.

Length of square of hypotenuse $=50 cm^{2}$

So according to the Pythagoras theorem we have;

  $a^{2} +a^{2} =50$

⇒$2a^{2} =50$

⇒$a^{2} =25$

∴$a=5$

So the length of each side is $5$ cm