The base of a triangle is 44 cm greater than the height. the area is 30 cmsquared2. find the height and the length of the base.

Question

Mathematics

Dominic Nicholson

5 June, 14:12

The base of a triangle is 44 cm greater than the height. the area is 30 cmsquared2. find the height and the length of the base.

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Answers (1)

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Eileen Wiggins · Answer 1

Area = 1/2 b * h

30 cm^2 = 1/2 * (h + 44) (h)

60 = h^2 + 44h

h^2 + 44h - 60 = 0

Using the quadratic formula

h = 1.24

b = 45.24

or

h = - 45.32 which is impossible.