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avatar+661 

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 25, 2024
 #1
avatar+129725 
+1

We already know the three sides of PQR.....the other info is extraneous

 

semi-perimeter   =  [ 36 + 22 + 26 ] / 2 =  42

 

Heron's Formula

 

[ PQR ]  = sqrt [ 42 * (42 - 36) * (42 - 26) (42 - 22) ]    ≈ 284

 

cool cool cool

 Jun 25, 2024

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