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
Apply the heron's formula directly on triangle PQR:
The semiperimeter is \(\frac{36+22+26}{2}=42\).
\([PQR] = \sqrt{42*(6)*(20)*(16)}=\sqrt{80640}=48\sqrt{35}\).
(The [PQR] notation means area).
Apply the heron's formula directly on triangle PQR:
The semiperimeter is \(\frac{36+22+26}{2}=42\).
\([PQR] = \sqrt{42*(6)*(20)*(16)}=\sqrt{80640}=48\sqrt{35}\).
(The [PQR] notation means area).