Question

In Fig. 15.75, PQRS is a square and T and U are respectively, the mid-points of PS and QR. Find the area of Δ OTS if PQ=8 cm

Answer 1

Answer:

Pqrs is a square .t and u are respectively the midpoints of PS and QR .find the area of triangle OTS. if PQ is equals to 8 cm where is the point of intersection of TU and QS

Answer 2

The area of Δ OTS if PQ=8 cm is 1/2 × 4 × 4 = 8cm²-

From the diagram, it can be inferred that O is the midpoint of TU as well, if we draw the other diagonal PR.

-Therefore, OT=OU

-Length of OT = OU = 4cm

-Length of ST = 4cm

-Area of ΔOTS = 1/2 × base × height

Area = 1/2 × 4 × 4 = 8cm²