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

Given:

PQR is a triangle, right-angled at P. 

PQ  = 10 cm    ;    PR = 24 cm

To Find:  The value of QR

Solution:

Since its aright angle triangle apply Pythagoras formula,

angle P = 90°   ;  QR is hypotenuse.

$QR^ 2    =  PQ^ 2    +   PR^2$    

$QR^ 2    =  10^2    +   24^2$     

$QR^ 2    =  100 + 576$

$QR^ 2    =   676$

$QR    =  \sqrt{676}$

$QR   =  \sqrt{26\times 26}$

$QR    =  26$ cm.

Therefore the value of QR is 26 cm.

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Updated on: 10-Oct-2022

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