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.)
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.
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