Answer:
B = 8cm
H = 24cm
Step-by-step explanation:
H = Height
B = Base
A = Area
A = 1/2 * BH
A height 8 cm more than twice the length
of the base
H = 8 + 2B
The area of the triangle 96 cm²
A = 96
Substitute H in terms of B in the equation.
96 = 1/2 * (8 + 2B) * B
96 = 1/2 * (8B + 2B²)
96 = 4B + B²
Trial and error by finding all the squares below 96
* B = 9, 36 + 81 = 107
* B = 8, 32 + 64 = 98
B = 8, put that into the H equation to find the height.
H = 8 + 2B
H = 8 + 16
H = 24
A = 1/2 * 8 * 24 = 96
