A triangular piece of fabric has an area of 45 square inches. The height of the triangle is 15 inches. What is the length of the triangle’s base?
Mathematics · High School · Mon Jan 18 2021
Answered on
Given:
Area of the triangle = 45 in^2
Height of the triangle = 15 in
Determine the length of the base
Formula for the area of the triangle:
A = (hb)/2
Solution:
Substitute the given values of area and height to the formula for the area of the triangle, and solve for the base.
A = (hb)/2
45 = (15b)/2
Multiply both sides by 2 in order to cancel out (15b/2)
(2)45= (2)(15b)/2
90 = 15b
Divide both sides by 15 to cancel out 15b leaving behind b.
15b/15 = 90/15
b = 6
Final answer:
The length of the base in 6 inches.