Area of Triangle - SAT

This example and solution is for the redesigned SAT which is for you if you are taking the SAT in March 2016 and beyond.

How to find the height of a triangle given the area?

Area of Triangle - SAT

Question: The triangle has an area of x² - x - 6 and a base of x + 2. What is the height of the triangle?

Area of triangle = 1/2 × Base × Height
x² - x - 6 = 1/2 × (x + 2) × h
(x - 3)(x + 2) = 1/2 × (x + 2) × h
h = 2(x - 3)

Solution: The height of the triangle is 2(x - 3)

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