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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