SOLUTION: The height of a triangle is one-half the length of the base. The area of the triangle is 81 in2. Find the height of the triangle.
Algebra.Com
Question 971635: The height of a triangle is one-half the length of the base. The area of the triangle is 81 in2. Find the height of the triangle.
Answer by amarjeeth123(570) (Show Source): You can put this solution on YOUR website!
Let the base be 2x.
Then the height is x.
Area of the triangle=1/2*base*height
Plugging in the values we get,
81=1/2*x*2x
x^2=81
x=9 inches
The height of the triangle is 9 inches.
The base of the triangle is 18 inches.
RELATED QUESTIONS
The height of a triangle is one-half the length of the base. The area of the triangle... (answered by stanbon)
The length of the base of a triangle is three times the height. The area of the triangle (answered by Leaf W.)
[ The height of a triangle is 4 inches more than twice the length of the base. The area... (answered by TimothyLamb)
If the area of a triangle is 40 in2 and the base is 4 in., what is the height? (answered by cleomenius)
the base of a triangle is one less than five times the height of the triangle. the area... (answered by nerdybill)
The base of a triangle is one half as long as its height. If the area of the triangle is... (answered by macston)
The base of a triangle is one half as long as its height. If the area of the triangle is... (answered by macston)
The base of a triangle is one-half as long as its height. If the area of the triangle is... (answered by ikleyn)
The base of a triangle is one-half as long as its height. If the area of the triangle 100 (answered by TimothyLamb)