In a similar triangle the shortest side is 12 and the longest is x.
(a) Write a proportion that models the situation.
(b) Solve the proportion for x.
( The proportion is ? Type an equation. Do not simplify.)
In a similar triangle the shortest side is 12 and the longest is x.
(a) Write a proportion that models the situation.
(b) Solve the proportion for x.
( The proportion is ? Type an equation. Do not simplify.)
Let's name each side of triangle 1: A = 4, B = 7, and C = 10
The shortest side in a similar triangle is 12, so that would be the same side as A in triangle 1 and the longest is x which is the same side as C in triangle 1.
Therefore, our proportion statement is 4 is to 10 as 12 is to x, or
4 12
___ = ____ which is the answer to a
10 x
To solve for x, we cross multiply and we get
4x = (10)(20) or 4x = 120
Divide both side of the equation by 4 to isolate x: x = 120/4, so x = 30 (the answer to b)