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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

Triangle abc has been dilated about point a by scale a factor of 13What are the lengths in units of the three sides of A B CA 10 12 13 B 10 16 13 C 90 124 97 D class=

Respuesta :

GuthrieT
The answer is 10, 16, and 13
calculista

Answer:

The answer is the option B. [tex]10, 16, 13[/tex]

Step-by-step explanation:

We know that

The scale factor is equal to [tex]\frac{1}{3}[/tex]

so

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

[tex]A'B'=AB*\frac{1}{3}[/tex] -----> substitute [tex]A'B'=30*\frac{1}{3}=10\ units[/tex]

[tex]A'C'=AC*\frac{1}{3}[/tex] -----> substitute [tex]A'C'=39*\frac{1}{3}=13\ units[/tex]

[tex]B'C'=BC*\frac{1}{3}[/tex] -----> substitute [tex]B'C'=48*\frac{1}{3}=16\ units[/tex]

therefore

The answer is the option B

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