Question:

PQR is a triangle right angled at P. If PQ = 10 cm and PR = 24 cm, find QR.

Updated On: Dec 8, 2023
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Solution and Explanation

triangle PQR
By applying Pythagoras theorem in \(Δ\;PQR\),

\(\Rightarrow\) \((PQ)^2+ (PR)^2= (RQ)^2\)

\(\Rightarrow\) \((10)^2+ (24)^2= RQ^2\)

\(\Rightarrow\) \(100 + 576 = (QR)^2\)

\(\Rightarrow\) \(676 = (QR)^2\)

\(\Rightarrow\)\(QR= 26\) \(cm\)

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