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avatar+1351 

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 PX (AX incorrect) at Y. If PQ = 36, PR = 22, QR = 26, and MY = 8, then find the area of triangle PQR

 May 7, 2024
 #1
avatar+128796 
+1

We know the three sides of PQR.....the other info doesn't matter

 

Semi-perimeter  =  [ 36 + 26+ 22 ]  /  2 =  84 / 2 =  42

Heron's Formula :

[ PQR ]  =  sqrt [ 42  * 6 * 16 * 20 ] =  48sqrt (35)   ≈ 283.97

 

cool cool cool

 May 7, 2024

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