Question

P. 19. PQR is an isosceles triangle whose equal sides PQ and PR are 13 cm each, and the base QR measures 10 cm. PS is the perpendicular from P to QR and O is a point on PS such that ZQOR = 90°. Find the area of shaded region. o Q S R​

Answer 1

Answer:

draw isosceles triangle PQR (note: PQ=PR=13 cm)

draw altitude PS which bisects segment QR

find the length of QR

so, QS=SR

triangle PSR is a right triangle

13^2=12^2+SR^2

169=144+SR^2

169-144=SR^2

25=SR^2

SR=√25

SR=5 and QR=10 cm