SOLUTION: A Triangle has a base that is six times the length of its height.
If the area of the triangle is 192 cm^2, find the height and length of the base (showing your reasoning)
Algebra.Com
Question 874289: A Triangle has a base that is six times the length of its height.
If the area of the triangle is 192 cm^2, find the height and length of the base (showing your reasoning)
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
A Triangle has a base that is six times the length of its height.
If the area of the triangle is 192 cm^2, find the height and length of the base
area of triangle = 1/2 * b *h
b= 6h
192= 1/2 * h * 6h
192=3h^2
/3
192/3=h^2
64=h^2
h= +/-8
ignore negative
h= 8 cm
and base = 6h = 48cm
RELATED QUESTIONS
The base of a triangle is 8 cm less than its height. If the area of the triangle is... (answered by shebi123)
the base of a triangle is 3 times as long as its height. if the area of the triangle is... (answered by venugopalramana)
the height of a triangle is 10 centimeters more than its base. if the area of the... (answered by mananth)
A triangle has a base length of 2x cm and a perpendicular height of (x+3) cm.
The area... (answered by josgarithmetic)
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 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 base length of a right triangle is 4 cm more than its height. The area is 30 cm2.... (answered by josgarithmetic)