Δabc is similar to δdef. the ratio of the perimeter of δabc to the perimeter of δdef is 1 : 5. if the longest side of δdef measures 15 units, what is the length of the longest side of δabc?

Length of the longest side of ΔABC = 3 units

Step-by-step explanation:

If two similar triangles have a scale factor a:b, then the ratio of perimeters is also a:b.

Here, the converse is applied.

The perimeter of similar triangles is in the ratio 1:5, so, the corresponding lengths are also in the ratio 1:5

Perimeter of ΔABC : Perimeter of ΔDEF = 1:5

Longest side of ΔABC : Longest side of ΔDEF = 1:5

Longest side of ΔABC : 15 = 1:5

∴ Longest side of ΔABC = (1/5) * 15 = 3 units

The answer is 25 units

Step-by-step explanation:

d

step-by-step explanation: