36Isosceles right triangle area
An isosceles right triangle has a hypotenuse of length 10√2. What is the area of the triangle? A) 25 B) 50 C) 100 D) 200
The area is 50, answer B. In a 45-45-90 triangle the legs equal the hypotenuse divided by root 2, so each leg is 10√2/√2 = 10, and area = (1/2)(10)(10) = 50.