Question

In the diagram if PQRS is a square of side 3 cm then length of TR approximately is

Answer 1

GIVEN PT=√3

SIDE=3cm

IN TRIANGLE RTQ

ANGLE PTR=30

sinθ=opp/hypo

sin30=RQ/RT

sin30=3/RT

value of sin30=1/2

1/2=3/RT

MULTIPLYING RT ON BOTH SIDES

RT/2=3

MULTIPLYING 2 ON BOTH SIDES

RT=6

THEREFORE LENGTH OF RT=6CM