16. GEOMETRY A triangle has an area of 3x2+ 9x-54 square centimeters. f the height of...

Question

Question

16. GEOMETRY A triangle has an area of 3x2+ 9x-54 square centimeters. f the height of the triangle is x+6 centimeters, find the length of the base.

math algebra

Answer 1

Answer #1

Given that the area of triangle is

(3x² + 9x - 54) cm²

Also the height of triangle is

(x+ 6) cm

We know that

Area of a triangle = (1/2) *length of Base * Height

length of Base= 2* Area of triangle / Height

=2 (3x² + 9x - 54) / (x+ 6)

= 6 (x² + 3x - 18) / (x+ 6)

= 6(x+6)(x-3) / (x+6)

Length of base = 6 (x-3) cm

Answer 2

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