Question: What is the area of a right triangle whose base is 8 feet and hypotenuse is 10 feet?


A ) 22 square feet
B ) 26 square feet
C ) 20 square feet
D ) 24 square feet

Steps to derive

1 In a right triangle, height = [(hypotenuse)2-(base)2]

2 height = 100 - 64
 [Substitute hypotenuse = 10 feet and base = 8 feet.]

3 = 36

4 = 6

5 The base of the triangle = 8 feet

6 The area of the triangle = 1 / 2 × b × h

 [Substitute b = 8 feet and h = 6 feet]
7 = 12 × 8 × 6

8 = 24 square feet

9 The area of the right triangle is 24 square feet.



Hence the right answer is Option D

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