3 years ago

Given the triangle that has a base of five less than triple the height. The height is 2x+6.

Mathematics

1 answer:

Deffense [45]3 years ago

5 0

Answer:

Step-by-step explanation:

H = 2x+6 - the hight

3H = 3(2x+6) - triple the hight

3H-5 = 3(2x+6) - 5 - five less than triple the height

Area of triangle: A = 0.5BH

B = 3(2x+6)-5 = 6x + 18 - 5 = 6x + 13

H = 2x+6

So:

A = 0.5(2x+6)(6x+13) = (x+6)(6x+13) = 6x² + 13x + 36x + 78

A = 6x² + 49x + 78

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