the side of an isosceles triangle of hypotenuse 5underroot 2 cm is - Maths - Heron\s Formula

Question

the side of an isosceles triangle of hypotenuse 5underroot 2 cm
is

Shridhar Kaushik · Accepted Answer

We have given,

$Hypotenuse = 5 \sqrt{2} cm.$

So, the triangle is right angled triangle.

Also it is mentioned that the triangle is isosceles, so the remaining two sides will be equal.

Thus, we have

$x^{2} + x^{2} = (5 \sqrt{2})^{2} \Rightarrow 2 x^{2} = 50 \Rightarrow x^{2} = 25 \Rightarrow x = 5$

Thus, the length of the remaining two sides is 5cm each.