Question

If in an isoscles right-angle triangle the length of the hypotenuse is $10cm$ find the perimeter of the triangle.

Answer 1

In an isosceles right-angled triangle two sides are equal.

If one side is $10$cm then the other side is also $10$cm

The hypotenuse is the biggest side

$\therefore ,{\left(hypotenuse\right)}^2={10}^2+{10}^2$

$\Rightarrow$hypotenuse$=\sqrt{2\times 100}=10\sqrt{2}$cm

$\therefore$ its perimeter$=10+10+10\sqrt{2}=20+10\sqrt{2}$cm