Math, asked by josvika, 5 months ago

In the figure, PQR and SQR are two right triangles with common hypotenuse QR. If
PR and SQ intersect at M, such that PM = 3cm, MR = 6cm and SM = 4cm, find the
value of MQ.

Answers

Answered by anjalmaheshwari497
1

Answer:

ANSWER

In triangles PQS and PQR

∠P is common to both.

and ∠PSQ=∠PQR

Triangles PQS and PQR are equiangular

PQ

PS

=

QR

QS

or, PS=

QR

PQ⋅QS

...(i)

Again, triangles QRS and PQR are equiangular

QR

SR

=

PQ

QS

or, SR=

PQ

QS⋅QR

...(ii)

From eqns. (i) and (ii)

SR

PS

=

QR

PQ⋅QS

QR⋅QS

PQ

=

QR

2

PQ

2

I hope this is helpful for you

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