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.
+23245 You can find the area of the triangle by using Hero's formula: Area = sqrt( s · (s - a) · (s - b) · (s - c) ) where s = (a + b + c) / 2.
For this triangle: a = 36 b = 22 c = 26 ---> s = (36 + 22 + 26) / 2 = 42
Area = sqrt( 42 · (42 - 36) · (42 - 22) · (42 - 26 ) = sqrt( 42 · 6 · 20 · 16 ) = .....
All the other information can be ignored ... anyway, where is point A?
