SOLUTION: The area of a triangle is 30 square inches. The base of the triangle measures 2 inches more than twice the height of a triangle. Find the measures of the base and the height.
Algebra ->
Triangles
-> SOLUTION: The area of a triangle is 30 square inches. The base of the triangle measures 2 inches more than twice the height of a triangle. Find the measures of the base and the height.
Log On
Question 191808This question is from textbook Beginning Algebra
: The area of a triangle is 30 square inches. The base of the triangle measures 2 inches more than twice the height of a triangle. Find the measures of the base and the height. This question is from textbook Beginning Algebra
You can put this solution on YOUR website! The area of a triangle is 30 square inches. The base of the triangle measures 2 inches more than twice the height of a triangle. Find the measures of the base and the height.
.
Area of any triangle = (1/2)bh
where
b is base
h is height
.
Let h = height
then
2h+2 = base
.
30 = (1/2)(2h+2)h
30 = (h+1)h
30 = h^2+h
0 = h^2+h-30
0 = (h+6)(h-5)
.
h ={-6,5}
We can toss out the negative solution leaving us with:
h = 5 inches
.
base:
2h+2 = 2(5)+2 = 10+2 = 12 inches
.
Therfore,
height is 5 inches
base is 12 inches
