Question

If Delta PQR right angled at Q PQ=QR. If QS perp PR and QS= 4cm then the perimeter of Delta PQR​

Answer 1

Answer:

Maths

The Triangle and Its Properties

Recalling Basics of Triangles and Its Types

PQR is a right - angled tri...

MATHS

Asked on December 27, 2019 byRittika Bandi

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

A

QP : QR

B

QP2:QR2

C

2 : 3

D

None of the above

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ANSWER

In triangles PQS and PQR

∠P is common to both.

and ∠PSQ=∠PQR

Triangles PQS and PQR are equiangular

∴PQPS=QRQS

or, PS=QRPQ⋅QS ...(i)

Again, triangles QRS and PQR are equiangular

∴QRSR=PQQS

or, SR=PQQS⋅QR ...(ii)

From eqns. (i) and (ii)

SRPS=QRPQ⋅QS⋅QR⋅QSPQ=QR2PQ2