Question

The ratio of one side of Triangle ABC to the corresponding side of similar Triangle DEF is 3:5. If the perimeter of Triangle DEF is 48 inches, what is the perimeter of Triangle ABC?

Answer 1

`"Perimeter of "triangle ABC = 28.8`

Explanation:

Since `triangle ABC` ~ `triangle DEF`

then if `("side of "ABC)/("corresponding side of "DEF) = 3/5`

`color(white)("XXX")rArr("perimeter of "ABC)/("perimeter of "DEF) = 3/5`

and since `"perimeter of "DEF = 48`

we have
`color(white)("XXX")("perimeter of " ABC)/48 =3/5`

`rArrcolor(white)("XXX")"perimeter of "ABC = (3xx48)/5=144/5=28.8`