The area of an isosceles right triangle is 18 cm2.What is the length of the hypotenuse of the triangle?

The area of an isosceles right triangle is 18 cm2.What is the length of the hypotenuse of the triangle?
A . 6 cm
B .

cm

C .

cm
D .

cm
E .

cm

Answer: B

Explanation:

The area of a triangle is equal to 1/2bh where b is the base of the triangle and h is the height of the triangle. The base and height of an isosceles right triangle are equal in length. Therefore, 1/2b 2 = 18, b 2 =36. B=6. The legs of the triangle are 6 cm. The hypotenuse of an isosceles right triangle is equal to the length of one leg multiplied by √2. The hypotenuse of this triangle is equal to 6√2 cm

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