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