Question

P
T
S
D
17 cm
с
9 cm
8 cm
U
B
R.
A
Fig. 14.74
Fig. 14.75
2. In Fig. 14.75, PQRS is a square and T and U are, respectively, the mid-points of PS
and QR. Find the area of AOTS if PQ = 8 cm.​

Answer 1

Answer:

PS = PQ = 8 cm and TU || PQ

ST = 1/2 PS = 1/2 × 8 = 4 cm

PQ = TU = 8 cm

OT = 1/2 TU = 1/2 × 8 = 4 cm

Area of triangle OTS

= 1/2 × ST × OT [Since OTS is a right angled triangle]

= 1/2 × 4 × 4 cm2 = 8 cm2