SOLUTION: linear equation in one variable:
An altitude of a triangle is 5/3 of its corresponding base.If the altitude is increased by 4 and then base is decreased by 2 its area
Algebra.Com
Question 704032: linear equation in one variable:
An altitude of a triangle is 5/3 of its corresponding base.If the altitude is increased by 4 and then base is decreased by 2 its area remain unchanged.Find alitude and base of its triangle
Answer by nshah11(47) (Show Source): You can put this solution on YOUR website!
b = base and altitude = 5b/3
Area = 1/2(b)(h) = 1/2(5b/3)(b) = (5b^2)/6
Altitude increased by 4 = 5b/3 + 4
Base decreased by 2 = b - 2
(5b/3 + 4)(b - 2) = (5b^2)/3
5b^2/3 - 10b/3 + 4b - 8 = (5b^2)/3
2b/3 = 8
b = 12, h = 20
RELATED QUESTIONS
base of a triangle is 10 inches more than its altitude. if base is increased by 5 inches... (answered by sachi)
If the altitude and the base of a triangle are each increased by 4 inches the area of the (answered by ewatrrr)
an altitude of a triangle is five-thirds the length of its corresponding base.if the... (answered by )
3. The area of a triangle is 102 cm^2. Determine the base and the altitude of the... (answered by ikleyn)
The base of a triangle is x cm long and its altitude is quarter the length of its base.... (answered by nerdybill)
The base of a triangle is x cm long and its altitude is quarter the length of its base.... (answered by Alan3354)
In an isosceles triangle the _______ is located one-third of its altitude from the base.... (answered by MathLover1)
The altitude of a triangle is 3/4 the length of its base. If the altitude were increased... (answered by nerdybill)
If the base of a triangle increases by 5% and its corresponding altitude decreases by 5%, (answered by ankor@dixie-net.com)