# Algebra

posted by
**Candace**
.

How do you find the area of a shaded area in a triangle and assume the area of the largest triangle is one unit?

If the largest (outer) triangle has area =1, and it has a base length b and height h, then

(1/2) b h = 1

bh = 2

Then use whatever information you have on the base b' and height h' of the shaded triangle, and compute b' h' in terms of b h. Call the ratio a

b' h'/ b h = a

The shaded triangle will have area

A' = (1/2) b' h' = (1/2) a b h

When you are done, set bh = 2

A' = x