Question

In the given figure , ^pQR=90°,QT perpendicular to PR, PQ=7cm,QR=24cm &PR=25cm then the length of TE is? ​

Answer 1

Given  : In triangle PQR=90°,QT perpendicular to PR

PQ=7cm,QR=24cm and PR=25cm  

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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