SOLUTION: The base of a triangle is 1 inch more than 3 times the height. If the area of the triangle is 40 square inches, then find the height.

Algebra.Com
Question 1170835: The base of a triangle is 1 inch more than 3 times the height. If the area of the triangle is 40 square inches, then find the height.
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

Let x be the height, in inches.


Then the base is 3x+1  inch.


The area of the triangle is  ;   THEREFORE, your base equation is


     = 40   square inches.


Then you simplify it


    x*(3x+1) = 80

    3x^2 + x - 80 = 0


and solve it using the quadratic formula


     =  = .


You have two roots   = 5  and  ,  but only positive root is good as the solution to the problem.


ANSWER.  The height of the triangle is 5 inches.

Solved.



RELATED QUESTIONS

The base of a triangle is 4 inches more than 4 times the height. If the area is 40... (answered by MathLover1)
The base of a triangle is 2 inches more than 3 times the height. If the area is 8... (answered by waynest)
the height of a triangle is one inch greater than 3 times its base. the area of the... (answered by nyc_function)
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)
The base of a triangle is 3 inches more than 4 times the height. If the area of the... (answered by lwsshak3)
[ The height of a triangle is 4 inches more than twice the length of the base. The area... (answered by TimothyLamb)
The area of a triangle is 37 square inches. If the base is 7 inches more than 2 times... (answered by josgarithmetic)
the height of a triangle is 3 inches more than twice its base. if the area of the... (answered by mananth)