SOLUTION: "The base of a triangle is x cm long and its altitude is quarter the length of its base. If the triangle has an area of 12 cm^2, from an equation in x and solve it. State the altit

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: "The base of a triangle is x cm long and its altitude is quarter the length of its base. If the triangle has an area of 12 cm^2, from an equation in x and solve it. State the altit      Log On


   

Question 1151120: "The base of a triangle is x cm long and its altitude is quarter the length of its base. If the triangle has an area of 12 cm^2, from an equation in x and solve it. State the altitude of the triangle."
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

The base of a triangle is x cm long and its altitude is quarter the length of its base.
base:x cm
altitude:%281%2F4%29x cm
the area of triangle:
A=%281%2F2%29%2Abase%2Aaltitude...substitute given
A=%281%2F2%29%2Ax%2A%281%2F4%29x
A=%281%2F8%29%2Ax%5E2

If the triangle has an area of 12 cm^2, then
12=%281%2F8%29%2Ax%5E2
12%2A8=x%5E2
96=x%5E2
x=sqrt%2896%29


the altitude of the triangle is %281%2F4%29x cm=>%281%2F4%29sqrt%2896%29 cm=>sqrt%2896%29%2F4 cm