Question

Find the area of an isosceles right triangle whose hypotenuse is 4 root2 cm.

The length of equal side is ??

The area is ??


using Herons formula ​

Answer 1

Answer:

4 cm

Step-by-step explanation:

let,

• hypotenuse= h = 4√2 cm
• equal side = x

by using Pythagoras theorem,

$\tt a^2 +b^2 = c^2$

$\tt \implies x^2 +x^2 = h^2$

$\tt \implies x^2 +x^2 = (4\sqrt{2})^2$

$\tt \implies 2x^2 = 16×2$

$\tt \implies 2x^2 = 32$

$\tt \implies x^2 = \dfrac{32}{2}$

$\tt \implies x^2 = 16$

$\tt \implies x = \sqrt{16}$

$\tt \implies x = 4\:cm$