The area of an isosceles right angle triangle is 81 cm2. Find the length of its hypotenuse.

Correct option is B

Given:

Area of the isosceles right-angle triangle = 81 cm²

Formula Used:

For an isosceles right-angle triangle, if a is the length of the equal sides, then:

Area = (1/2) * a²

The hypotenuse of the triangle is given by the Pythagorean theorem:

Hypotenuse = a√2

Solution:

Area of triangle 

(1/2) * a² = 81

 a² = 162

a = √162 = 9√2 cm

 Now, using the Pythagorean theorem to find the hypotenuse:

Hypotenuse = a√2 = 9√2 * √2 = 9 * 2 = 18 cm