SOLUTION: A right triangle's height is 3 times the length of its base. If the area of the triangle is 486, what is the height?
Algebra.Com
Question 788667: A right triangle's height is 3 times the length of its base. If the area of the triangle is 486, what is the height?
Answer by waynest(281) (Show Source): You can put this solution on YOUR website!
height = 3x
base = x
Area = 486
formula = 1/2bh
1/2(x)(3x) = 486
1/2(3x^2) = 486
2(1/2)(3x^2) = 2(486)
3x^2 = 972
3x^2/3 = 972/3
x^2 = 324
sqrtx^2 = sqrt324
x = 18
check:
1/2(18)(3(18)) = 486
1/2(18)(54) = 486
1/2(972) = 486
486 = 486
RELATED QUESTIONS
A right triangle's height is 3 times the length of its base. If the area of the triangle... (answered by waynest)
The base of a triangle is 3 times its height the area is numerically 6 times its height.... (answered by ptaylor)
The area of a triangle is 27 square inches. The height is 3 times the length of its base. (answered by rfer)
The lateral area of a right cylinder whose height is 3 times the length of the radius is... (answered by cleomenius)
The height of a right triangle is 5 units more than twice its base. If the area of the... (answered by timvanswearingen)
The base of a triangle is 5 times its height. If the area of the triangle is 360 square... (answered by JulietG)
The area of a triangle is 27 square feet. Its height is three times the length of the... (answered by Fombitz)
The area of a triangle is 578 the base is 4 times the length of its height. Find the base (answered by Zucchini)
The height of a right triangle is 3 feet more than three times the length of its base.... (answered by mananth)