Question 264277
the height of a triangle is 2cm shorter than its base. The area is 17.5 cm^2. find the base of the triangle

let the base be x

height = x-2

Area= 1/2 * x * (x-2)

= x^2-2x  /2 = = 35

x^2-2x-35=0

x^2-7x+2x-35=0
x(x-7) +2(x-7)=0
x+2)(x-7)=0

x=7 base