Question

Triangle abc has been dilated about point a by scale a factor of 1/3

What are the lengths in units of the three sides of A B C

A. 10, 12, 13. B. 10, 16, 13,
C. 90 124 97. D. 90 144 117

Answer 1

The answer is 10, 16, and 13

Answer 2

The answer is the option B.
`10, 16, 13`

Explanation:

We know that

The scale factor is equal to
`(1)/(3)`

so

To know the lengths sides of triangle A'B'C'. multiply the lengths sides of triangle ABC by the scale factor

`A'B'=AB*(1)/(3)` -----> substitute
`A'B'=30*(1)/(3)=10\ units`

`A'C'=AC*(1)/(3)` -----> substitute
`A'C'=39*(1)/(3)=13\ units`

`B'C'=BC*(1)/(3)` -----> substitute
`B'C'=48*(1)/(3)=16\ units`

therefore

The answer is the option B