Question

A right triangle is shown below.
a=6
b=8
c=?
The triangle is dilated by a scale factor of 2.5 to create a new triangle. What is the perimeter of the new triangle?
answs; 120,24,60 and 150
i keep getting different answers can someone help?

Answer 1

I assume that c is the hypotenuse.
c^2 = a^2 + b^2 = 6^2 + 8^2 = 36 + 64 = 100
so
c = 10
(note, this is a 3,4,5 triangle scaled up by 2 so the answer was known before we started)
Now linera dimensions like perimeter scale with the scale ratio
original perimeter = 6 + 8 + 10 = 24
new perimeter = 2.5 * 24 = 48+12 = 60