Question 1179836


The height of a triangle is 4 m more than twice the length of the base. The area of the triangle is 35 m^2. Find the height of the triangle.

Let length of the base = x m
Height = 2x+4 m
area =35

Area of triangle = 1/2 * x * (2x+4)

 35= 1/2 * x * (2x+4)
70 = 2x^2 +4x

2x^2+4x-70 =0

/2
x^2+2x-35=0

(x+7)(x-5)=0

x=-7, or x=5
omit negative

base = 5m

height ===>2x+4 ===>14 m