The area of a triangle is 1440 cm^2. the base of the triangle is 5 times the height. what is the height of the triangle?

Question

Mathematics

Elvis Richards

21 December, 09:04

The area of a triangle is 1440 cm^2. the base of the triangle is 5 times the height. what is the height of the triangle?

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Answers (1)

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Shania Andersen · Answer 1

Height = "h"

Triangle Area =.5 * base * height

1,440 =.5 * 5h * h

1,440 = 2.5 h^2

576 = h ^2

height = 24 centimeters

and the base is therefore 120 centimeters

Double Check

base = 120 cm

height 24 cm

area =.5 * 120 * 24

area = 1,440