Question

the area of triangle plot is 156 CM square the base of the plot is 2 cm more than two times a height of 5 find the base and height of the triangle​

Answer 1

Answer:

Let b = the length of the base

Let 2b + 2 = the length of the altitude

A = (1/2)bh

156 = (1/2)b(2b+2)

312 = 2b2 + 2b

2b2 + 2b - 312 = 0

b2 + b - 156 = 0

(b + 13)(b - 12) = 0

b + 13 = 0 or b - 12 = 0

b = -13 b = 12 cm

altitude: 2b + 2 = 2(12) + 2 = 26 cm