Question

The the hypotenuse of an isosceles aright triangle is 50 cm find the length of each side

Answer 1

Let,

The equal sides of isosceles right triangle be x.

★ By Herons Formula  ★

$\boxed{\bold{l^2 + b^2 = h^2}}$

➟ x² + x² = 50 cm²

➟ 2x² = 50 cm²

➟ x² = 25 cm²

➟ x = √5 cm × √5 cm

$\boxed{\bold{\therefore\:x=5 cm^2}}$