SOLUTION: 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.

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.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!

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
RELATED QUESTIONS
The height of a triangle is 4 m more than twice the length of the base. The area is 15m2. (answered by algebrahouse.com)

The length of a triangle is 4 m more than twice the length of the base. The area of the... (answered by solver91311)

The height of a triangle is 2 m more than twice the length of the base. The area of the... (answered by ewatrrr)

[ The height of a triangle is 4 inches more than twice the length of the base. The area... (answered by TimothyLamb)

The height of a triangle is 8m more than twice the length of the base. The area of the... (answered by mananth)

The height of a triangle is 4 feet less than the base. The area of the triangle is 16... (answered by Fombitz)

Question 2.2. The height of a triangle is 6 m more than its base. The area of the... (answered by ewatrrr)

The height of a triangle is 2 m more than twice the length of the base. The area of the (answered by ikleyn,josgarithmetic)

The height of a triangle is 6 m more than twice the length of the base. The area of the... (answered by ewatrrr)