# MATH

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THE BASE AND HEIGHT OF A TRIANGLE ARE IN THE RATIO 5:3. IF THE AREA OF THE TRIANGLE IS 67.5 SQUARE METRE; FIND ITS BASE AND HEIGHT.

• MATH -

let the base be 5x and the height 3x ,
area of triangle = (1/2)base x height
(1/2)(5x)(3x) = 67.5
35x^2 = 135
x^2 = 9
x = √9 = 3

so base is 5x = 15
height is 3x = 9

check:
15 : 9 = 5 : 3
(1/2)(15)(9) = 67.5

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