Suppose the base and height of a triangle sum to 18 cm, and the area of the triangle is 36 square cm. if the base is larger than the height, what are the dimensions (base and height) of the triangle

Question

Mathematics

Hope Sexton

5 November, 15:51

Suppose the base and height of a triangle sum to 18 cm, and the area of the triangle is 36 square cm. if the base is larger than the height, what are the dimensions (base and height) of the triangle

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Answers (1)

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Brooklynn Tucker · Answer 1

15-h) * h=40

15h-h^2=40

h^2-15h+40=0

solve for h by quadratic formula:

a=1, b=-15, c=20

ans:

h=3.47 or 11.53 cm (height)

b=15-h=11.53 or 3.47 cm (base)