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In triangle PQR, M is the midpoint of PQ. Let X be the point on QR such that PX bisects angle QPR, and let the perpendicular bisector of PQ intersect AX at Y. If PQ = 36, PR = 22, QR = 26, and MY = 8, then find the area of triangle PQR

 Jun 8, 2024
 #1
avatar+129399 
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   PQ = 36, PR = 22, QR = 26 .....   This is all we need to know   

 

→  semi-perimeter  =  [ 36 + 22 + 26 ] / 2  = 42....using Heron's Formula

 

[ PQR]  =   sqrt [  42 *  6 * 16 * 20 ]     = 48 sqrt 35  ≈  284   

 

 

cool cool cool

 Jun 8, 2024

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