SOLUTION: the base of a triangle is 4 inches less than twice its height. if the area of the triangle is 360 square inches, what is the base of the triangle?

Question 820921: the base of a triangle is 4 inches less than twice its height. if the area of the triangle is 360 square inches, what is the base of the triangle?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
---
h = x
b = 2x - 4
360 = (2x - 4)x/2
720 = (2x - 4)x
2xx - 4x - 720 = 0
---
the above quadratic equation is in standard form, with a=2, b=-4, and c=-720
---
to solve the quadratic equation, by using the quadratic formula, copy and paste this:
2 -4 -720
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
---
the two real roots (i.e. the two x-intercepts), of the quadratic are:
x = 20
x = -18
---
b = 2x - 4
b = 2(20) - 4
---
answer:
base = 36 in
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
RELATED QUESTIONS
If a Triangle's height is 4 inches less than two times its base, and has an area of 120... (answered by nerdybill)

The base of a triangle is 4 inches more than twice its height. If the area of the... (answered by josgarithmetic,ikleyn)

the height of a triangle is 4 inches less than twice its base. The area is 48 sq inches.... (answered by josgarithmetic)

The base of a triangle is 2 inches less than its height. If the area of the triangle is... (answered by Alan3354)

the height of a triangle is 4 inches greater then twice its base.The area of the triangle (answered by swincher4391)

The height of a triangle is 8 inches less than its base. The area of the triangle is 192... (answered by bam878s)

The height of a triangle is 11 inches less than its base. The area of the triangle is 138 (answered by TimothyLamb)

The height of a triangle is 4 inches greater than twice its base. The area of the... (answered by checkley77)