Question

The base of a triangle is 7 less than twice its height. if the area of the triangle is 102cm^2 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