PQR is a triangle in which PQ=PR=4cm and angleP=90 Find the area of PQR and the length of - Maths - Surface Areas and Volumes of Solids

Question

PQR is a triangle in which PQ=PR=4cm and angleP=90? Find the area
of ?PQR and the length of the perpendicular from P to QR

Ahmad · Answer

QR = sqrt[PQ^2 + PR^2] = sqrt[16 + 16] = 4 sqrt 2 cm
area of triangle PQR = 1/2 (4)^2 = 8 cm^2
altitude from P to QR = 2*area of PQR /QR = 2*8 /4 sqrt 2 = 4/sqrt
2 = 2 sqrt 2 cm

PQR is a triangle in which PQ=PR=4cm and angleP=90?.Find the area of ?PQR and the length of the perpendicular from P to QR