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layla07
15.12.2020 •
Mathematics
What is the length of PR?
A: 13.5 inches
B: 7.5 inches
C: 10.5 inches
D: 9.5 inches
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Ответ:
The correct option is;
C: 10.5 inches
Step-by-step explanation:
In triangle ΔPQR the given parameters are;
The length of
= 19.5 in.
The length of
= 7.5 in.
In triangle ΔVWX, the given parameters are;
The length of
= 13 in.
The length of
= 5 in.
The length of
= 7 in.
Given that we have;
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,
and
;
∴
= 7 × 1.5 = 10.5
The length of
= 10.5 inches
Ответ: