SOLUTION: A triangle has a base of X + 6, the height is X + 8 and the area is 60.
Find X ________, Base ________ Ht _________
Please be specific
Algebra.Com
Question 565900: A triangle has a base of X + 6, the height is X + 8 and the area is 60.
Find X ________, Base ________ Ht _________
Please be specific
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Area of triangle = 1/2 L*H
base of X + 6, the height is X + 8
1/2(x+8)(x+6)= 60
1/2(x^2+14x+48)=60
multiply equation by 2
x^2+14x+48=120
x^2+14x+48-120=0
x^2+14x-72=0
x^2+18x-4x-72=0
x(x+18)-4(x+18)=0
(x+18)(x-4)=0
x=-18 OR 4
ignore negative because the length and height cant be negative
x=4
plug x=4
base = x+6 = 10 units
height = x+8 = 12 units
CHECK
1/2 * 10*12= 60
RELATED QUESTIONS
A triangle has a base of X + 3, the height is X + 6 and the area is 135.
Find X... (answered by stanbon)
The area of a parallelogram is 91 sq. units. Find the base and height.
Base: 2x+1... (answered by greenestamps)
the area of a triangle is 20 inches. the base is X. the height is x+3. find the actual... (answered by ewatrrr,TimothyLamb)
If the base of a triangle is (4x+2) and the height is (x-6) , find the area
(answered by JulietG)
A triangle has a base length of 2x cm and a perpendicular height of (x+3) cm.
The area... (answered by josgarithmetic)
a triangle has a base of x+6, and a height of 2x+3. what is the area of the... (answered by ReadingBoosters)
A triangle has a height that is 2 more than 3 times the base and an area of 60 square... (answered by solver91311)
The base of a triangle is 5x and its height is x + 8. Find an expression for the area A... (answered by edjones)
The area of a parallelogram is 132 square miles. Find its base and height. Base is x+8... (answered by Alan3354,MathTherapy)