Question

7) In AQSR, M2Q=45°,
mZS=90° & SR= 4, Find QS.​

Answer 1

Answer:

7th

Maths

The Triangle and Its Properties

Recalling Basics of Triangles and Its Types

PQR is a right - angled tri...

MATHS

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Asked on December 27, 2019 by

Rittika Bandi

PQR is a right-angled triangle with QS as the perpendicular to the hypotenuse. The ratio PS : SR is equal to

MEDIUM

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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

=