Question

In the given figure, PQR is an equilateral triangle in which ., P-S.1 Q.R:.

Show that t:,, PQS ::: t:,, P RS .​

Answer 1

Answer:

QRST is a square

Let side =a.

PQ=PR=QR=a

∠PRQ=60

∘

(△PQR is equilateral )

In △PRS

PR=PS

∠PSR=∠SPR

(angle opp. to equal sides are also equal)

=x

∠PRS=60+90=150

∘

x+x+150=180( sum of angle of △PRS)

2x=30

∘

x=15

∘