Triangle RST was dilated with the origin as the center of dilation to create triangle R'S'T'. The triangle was dilated using a scale factor of 34. The lengths of the sides of triangle RST are given. Enter the lengths of the sides of triangle R'S'T' below. (Decimal values may be used.) (yo idc about who answers it first, just get it right and I'll mark brainliest

Respuesta :

Answer:

[tex]R' = 6[/tex]

[tex]S' = 7.5[/tex]

[tex]T' = 9[/tex]

Step-by-step explanation:

The question is incomplete; however the sides of the triangle are;

[tex]R = 8[/tex]

[tex]S = 10[/tex]

[tex]T = 12[/tex]

[tex]Scale\ Factor = \frac{3}{4}[/tex]

Required

Determine the sides of R'S'T'

The new sides of the triangle is calculated as thus;

[tex]New\ Side = Old\ Side * Scale\ Factor[/tex]

Calculating  R'

[tex]R' = R * Scale Factor[/tex]

Substitute 8 for R and 3/4 for Scale Factor

[tex]R' = 8 * \frac{3}{4}[/tex]

[tex]R' = \frac{24}{4}[/tex]

[tex]R' = 6[/tex]

Calculating  S'

[tex]S' = S * Scale Factor[/tex]

Substitute 8 for R and 3/4 for Scale Factor

[tex]S' = 10 * \frac{3}{4}[/tex]

[tex]S' = \frac{30}{4}[/tex]

[tex]S' = 7.5[/tex]

Calculating  T'

[tex]T' = T * Scale Factor[/tex]

Substitute 8 for R and 3/4 for Scale Factor

[tex]T' = 12 * \frac{3}{4}[/tex]

[tex]T' = \frac{36}{4}[/tex]

[tex]T' = 9[/tex]

Triangle RST was dilated with the origin as the center of the dilation to create triangle R'S'T'. The triangle was dilated using a scale factor of 34. The lengths of the sides of the triangle RST are given. Enter the lengths of the sides of the triangle R'S'T' below.

Answer:

6

7.5

9