Problema Solution
The base of a triangle is one-half as long as its height. If the area of the triangle is 225 square yards, find its height.
Answer provided by our tutors
We'll call the height of the triangle h.
(.5) * (h) * (.5h) = 225 <---- b/c the formula for /\ area is a=.5bh
(.25) * (h^2) = 225 <---- .5 * .5 = .25, h * h = h^2
(h^2) = 900 <----- both sides multiplied by four to cancel out .25
h = 30 <--------- square root both sides