The area of a right triangle with one leg measuring 8 feet and the hypotenuse measuring 10 feet is square feet. A.18 B.20 C.24
Mathematics · High School · Tue Nov 03 2020
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Given:
One leg of a right triangle = 8 feet
Hypotenuse = 10 feet
Find the area of the right triangle.
Area of the right triangle formula: A = ab/2
Solution:
In order to find the area of the right triangle, we must first determine the other leg of the right triangle by using the Pythagorean theorem.
Pythagorean theorem: c^2 = a^2 + b^2
b^2 = c^2 - a^2
b = √(c^2 -a^2)
b= √((10)^2 -(8)^2)
b = √(100-64)
b = √36
b = 6
Substitute the values of a and b in the formula for the area of the right triangle.
A = (8)(6)/2
A = 48/2
A = 24
Final Answer: C. 24