The height of a triangle is eight centimeters more than twice the base, and the area of the triangle is 285 cm2. Find the height and base of the triangle.

Question

Mathematics

Jason Dudley

1 July, 21:13

The height of a triangle is eight centimeters more than twice the base, and the area of the triangle is 285 cm2. Find the height and base of the triangle.

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Answers (1)

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Boyer · Answer 1

Base = 15

Height = 38

You can get this by setting the base equal to x and the height equal to 2x + 8. Then multiply together and set equal to 285. To solve, solve for 0 and then use the quadratic formula. You'll get two answers, but the negative one is an extraneous solution.