The height of a triangle is 4 feet greater than the base. The area of the triangle is 336 square feet. Find the length of the base and the height of the triangle.

Answer 1

*Let h = the height of the triangle (h>0), b = the base of the triangle (b>0)

*According to the problem: h = b + 4

1. Area = 1/2 *h*b

336 = 1/2 * (b+4) *b

672 = (b+4)*b

672 = b²+4b

0 = b²+4b-672

0 = (b-24)*(b+28)

b = 24 or b = -28 (cancel -28, b/c b>0)

1. h = b+4 = 24+4 = 28

Therefore, the triangle's base is 24ft, and its height is 28ft.