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and △PQR are similar. Find the missing side length.ABCPQR254126?(The triangles are not drawn to scale.)

Question

and △PQR are similar. Find the missing side length.

ABCPQR
254126
?(The triangles are not drawn to scale.)

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Solution

The triangles ABC and PQR are similar. This means that the ratio of their corresponding sides is equal.

Given: AB = 25, PQ = 41 BC = 42, QR = ?

We can set up the proportion as follows:

AB/PQ = BC/QR 25/41 = 42/QR

To solve for QR, we cross-multiply:

25QR = 4142

Then, divide both sides by 25 to solve for QR:

QR = (41*42) / 25 QR = 68.56 (rounded to two decimal places)

So, the missing side length QR is approximately 68.56.

This problem has been solved

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