if angle FGH is similar to angle PQR, FG = 6, PQ = 10, and the perimeter of angle PQR IS 35, find the perimeter of angle FGH
substituting "triangle" for "angle" everywhere,
since FG/PQ = 6/10
p(FGH) = 6/10 * p(PQR) = 6/10 * 35 = 21
To find the perimeter of angle FGH, we need to determine the lengths of its sides. Since angle FGH is similar to angle PQR, the corresponding sides are proportional.
We can set up a proportion using the side lengths of FG, PQ, and the perimeters of both angles.
FG/PQ = Perimeter of FGH/Perimeter of PQR
Plug in the given values:
6/10 = Perimeter of FGH/35
To find the perimeter of FGH, we can rearrange the equation:
Perimeter of FGH = (6/10) * 35
Simplifying this:
Perimeter of FGH = 21
Therefore, the perimeter of angle FGH is 21 units.