SOLUTION: the base of a triangle 7cm greater than the height. the are is 60cm^2. find the height and the length of the base.
Algebra.Com
Question 374732: the base of a triangle 7cm greater than the height. the are is 60cm^2. find the height and the length of the base.
Answer by vasumathi(46) (Show Source): You can put this solution on YOUR website!
the base of a triangle 7cm greater than the height. the are is 60cm^2. find the height and the length of the base
Solution: Let the height = h
then the base = h+7
area = a = 1/2 b*h=1/2 *(h+7)*h
60 = 1/2 (h+7) * h
120 = (h+7)* h
120=h^2+7h
h^2+7h-120=0
(h-8)(h+15) = 0-> h = 8 and -15
but since the height cant be negative we have h = 8
Then the base = h+7 = 8+7 = 15
so the base = 15
and the height = 8
This is the final answer
RELATED QUESTIONS
the base of a triangle is 7cm greater than the height. the area is 22cm^2. find the... (answered by nerdybill)
The base of a triangle is 7cm greater than height the area is 39cm^(2) find the height... (answered by solver91311)
Base of a triangle is 7cm greater than the height. The area is 22cm². Find the height and (answered by jojo14344)
Please help:
The base of a triangle is 6 cm greater than the height. The are is 56... (answered by solver91311)
Base of a triangle is 4cm greater than the height The area is 30cm^2
Find the height... (answered by vleith)
Can you help me solve this story problem.
The base of a triangle is 7cm greater than the (answered by Alan3354)
The base of a triangle is 3 cm greater than the height. The area is 2 cm^2. Find the... (answered by oberobic)
the base of a triangle is 6 cm greater than the height. The area is 20cm^2. Find the... (answered by Fombitz)
The base of a triangle is 6cm greater than the height. The area is 56 cm^2. Find the... (answered by ewatrrr)