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
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