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.ABCPQR254126?(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
Substituting the given values:
25/41 = 42/QR
To solve for QR, cross multiply:
25QR = 4142
QR = (41*42) / 25
QR = 68.56 (rounded to two decimal places)
So, the missing side length QR is approximately 68.56 units.
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