The area of a triangle is 338 square yards. the height of the triangle is four times its base. find the height and base of the triangle.

how do you solve this? (please describe it step by step so i can study for my test)

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The area of a triangle is 338 square yards. the height of the triangle is four times its base. find the height and base of the triangle.

how do you solve this? (please describe it step by step so i can study for my test)

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## Answers (1)

Area = (1/2)(B)(H) = (1/2)(base)(height)

substitute H = 4B

Area = (1/2)(B)(4B)

Area = (2)(B²) = 338 sq yds

(2)(B²) = 338

B² = 169

B = 13 yards = base

Recall , H = 4B = 4(13) = 52 yards = height