Question

The area of an isosceles right angled triangle is 16 $c{m}^2$ then the length of the hypotenuse is

• A. 8 cm
• B. 9 cm
• C. 10 cm
• D. 11 cm

Answer 1

The correct option is A 8 cm

Given, The area isosceles right angle triangle is $16$ sq cm

We know area of isosceles right angle triangle

$A=\frac{a^2}{2}$ where a is the sides of isosceles right angle triangle.

$\frac{a^2}{2}$$=16\Rightarrow a=4\sqrt{2}$

For an isosceles right triangle with side lengths $a$, the hypotenuse has length $a\sqrt{2}$

Then hypotenuse isosceles right angle triangle then side is $4\sqrt{2}=4\sqrt{2}\times \sqrt{2}=8$ cm