Question

If a triangle ABC is congruent to triangle PQR then find the length of QR

Answer 1

QR=BC (cpct ) hope it will help you

Answer 2

The length of the QR is 15.

Given:

ABC is congruent to triangle PQR

To find:

The length of QR.

Solution:

Consider triangle ABC and PQR.

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

First, find the scale factor:

Since AC=12 and PR=18, the scale factor is found by dividing PR by AC

Scale factor =  12/18

Scale factor = 1.5

which means that the second triangle is 1.5 times as large as the first

Now use the same scale factor to find the length of QR:

QR = 1.5 * 10

QR = 15

Thus, the length of the QR is 15.

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