Question

Triangle RST is similar to triangle UVW. Find the measure of side VW. Figures are not drawn to
scale.

Answer 1

Answer:

17.1

Step-by-step explanation:

UV/RS= WV/TS

11.4/4 = WV/6

WV= (11.4X6)/4

=17.1

Answer 2

Answer:

17.1

Step-by-step explanation:

Similar triangles:

In similar triangles, corresponding angles are congruent, and the corresponding sides are proportional.

ΔRST ~ ΔUVW,

        $\sf \dfrac{RS}{UV}= \dfrac{TS}{VW}\\\\Substitute \ the \ values,\\\\\dfrac{4}{11.4}=\dfrac{6}{VW}\\\\Cross \ multiply,\\\\4*VW = 6*11.4\\\\VW = \dfrac{6*11.4}{4}$

        VW = 3 * 5.7

         VW = 17.1