SOLUTION: The length of the base of a triangle three times the height. The area of the triangle is 54 squared. Find the base and height of the triangle. (by factoring)
Im confused on the
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Question 689286: The length of the base of a triangle three times the height. The area of the triangle is 54 squared. Find the base and height of the triangle. (by factoring)
Im confused on the formula I should be using. Do I need a formula?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The formula for the area of a triangle would be useful here
A = bh
:
The length of the base of a triangle three times the height.
the equation for this statement:
b = 3h
:
The area of the triangle is 54 squared. Assume you mean 54 sq/units here
*b*h = 54
multiply both sides by 2, get rid of the fraction
b*h = 108
Replace b with 3h
3h*h = 108
3h^2 = 108
Divide both sides by 3
h^2 = 36
find the square root of both sides
h =
h = 6 units is the height
then
b = 3h
3(6) = 18 units is base
:
;
Check this
*18*6 = 54
Find the base and height of the triangle.
Base = 18, height = 6; (not sure about the factoring requirement)
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