A triangle with an area of 702 square inches has a height that is 6 more than 4 times its base. Find the base and height, in inches, of the triangle.

Answer 1

H=6+4B

Area = 702 = (1/2)HB= (1/2)(6+4B)B = (3+2B)B = 3B +2B^2

2B^2 + 3B - 702

B = -3/4 + or - (1/4)sqr(9+5616)

B = -3/4 + (1/4)sqr(5625) = -3/4 + (1/4)(75) = (75-3)/4 = 72/4 = 18

B =18 inches

H=6+4B = 6+72 = 78 inches

A = (1/2)HB = (1/2)(18)(78) = 702 square inches

base = 18 inches

height = 78 inches