SOLUTION: [ The height of a triangle is 4 inches more than twice the length of the base. The area of the triangle is 35 square inches. Find the height of the triangle. (Area is one half the

Question 816932: [ The height of a triangle is 4 inches more than twice the length of the base. The area of the triangle is 35 square inches. Find the height of the triangle. (Area is one half the base times the height). ]
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
h = 2b + 4
b = (h - 4)2
b = 2h - 8
---
a = (1/2)bh = 35
bh = 70
---
bh = 70
(2h - 8)h = 70
2h^2 - 8h - 70 = 0
---
the above quadratic equation is in standard form, with a=2, b=-8, and c=-70
---
to solve the quadratic equation, plug this:
2 -8 -70
into this: https://sooeet.com/math/quadratic-equation-solver.php
---
the roots of the quadratic are:
h = 8.244998
h = -4.244998
---
the negative root doesn't make sense for a length, so use the positive root:
---
Answer:
height = 8.244998 inches
---
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
---
Convert fractions, decimals, and percents:
https://sooeet.com/math/fraction-decimal-percent.php
---
Calculate and graph the linear regression of any data set:
https://sooeet.com/math/linear-regression.php
RELATED QUESTIONS
The base of a triangle is 4 inches more than twice its height. If the area of the... (answered by josgarithmetic,ikleyn)

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

Help me solve this problem please: The height of a triangle is 4 cm more than twice the... (answered by josgarithmetic,MathTherapy)

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

The area of a triangle is 165 square feet.If the height is 4 more than the base, find the (answered by mananth)

The base of a triangle is 4 inches more than 4 times the height. If the area is 40... (answered by MathLover1)

The area of a triangle is 30 square inches. The base of the triangle measures 2 inches... (answered by nerdybill)

The base of a triangle is 14 inches more than 4 times the height. If the area is 60... (answered by josgarithmetic,MathTherapy)

The base of a triangle is 4 inches more than 2 times the height. If the area is (answered by MathLover1)