Question

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​

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