The three sides of a right triangle
That's the one on the right.
are proportional to another right triangle
whose sides measure 3 cm, 4 cm, and 5 cm.
That's the one on the left.
The triangle on the right has sides whose lengths
are some constant k times the lengths of the sides
of the triangle on the left.
Find the perimeter of the right triangle if
its area is 96 cm^2.
The formula for the area of a triangle is


For the larger triangle on the right, the area
is given as 96 cm², the base is 3k and the height
is 4k, so we substitute:












The perimeter is the sum of the three sides.








Edwin