1
What is the length of PR?
A: 13.5 inches
B: 7.5 inches
C: 10.5 inches
D: 9.5 inches

1 Answer

2

Answer:

The correct option is;

C: 10.5 inches

Step-by-step explanation:

In triangle ΔPQR the given parameters are;

The length of \overline {QP} = 19.5 in.

The length of \overline {QR} = 7.5 in.

In triangle ΔVWX, the given parameters are;

The length of \overline {WV} = 13 in.

The length of \overline {WX} = 5 in.

The length of \overline {VX} = 7 in.

Given that we have;

\dfrac{\overline {QP}}{\overline {WV}} = \dfrac{19.5}{13}  = 1.5 , \ \dfrac{\overline {QR}}{\overline {WX}} = \dfrac{7.5}{5} = 1.5

The ratio of the corresponding sides of triangle ΔPQR and triangle ΔVWX are equal, therefore ΔPQR is similar to ΔVWX, from which we have for the corresponding sides, \overline {PR} and \overline {VX};

\dfrac{\overline {PR}}{\overline {WV}} =  \dfrac{\overline {PR}}{\overline {7}} = 1.5

\overline {PR} = 7 × 1.5 = 10.5

The length of \overline {PR} = 10.5 inches

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Miss Velma Fay
15.5k 3 10 26
answered 8 months ago