In triangle PQR=90°,QT perpendicular to PR PQ=7cm,QR=24cm and PR=25cm then the length of TR is
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Given : In triangle PQR=90°,QT perpendicular to PR
PQ=7cm,QR=24cm and PR=25cm then
To Find : the length of TR is
Solution:
7² + 24² = 25²
=> PQ² + QR² = PR²
Using Converse of Pythagoras theorem
PQR is right angle triangle at Q
and QT is Perpendicular
ΔQTR ≈ Δ PQR
=> TR/QR = QR/PR
=> TR/24 24/25
=> TR = 23.04
length of TR is 23.04 cm
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