Question

The base of a triangle is seven less than twice its

height. If the area of the triangle is 102 cm2, find the
length of the base.​

Answer 1

b=2h-7

Area of a triangle: A=1/2 of bh

replace b with 2h-7: A=(1/2)(2h-7)h=102 => (2h-7)h=204

2h^2-7h-204=0

factor or use quadratic function to solve

h=12

b=2*-7=17

Step-by-step explanation: