Question

A quadrilateral PQRS is drawn to circumscribe a circle. If PQ, QR, RS (in cm) are 5,9,8, then PS equals?
Options: 7,6,5,4

Answer 1

Answer:

PS = 4

Step-by-step explanation:

A quadrilateral PQRS is drawn to circumscribe a circle. If PQ, QR, RS (in cm) are 5,9,8, then PS equals?

Options: 7,6,5,4

quadrilateral PQRS is drawn to circumscribe a circle.

=> PQ , QR , RS & PS are tangent to Circle

Using Tangent Property we can show that

PQ + RS = PS + QR

=> 5 + 8 = PS  + 9

=> 13 = PS + 9

=> PS = 4

Answer 2

Answer:

Option D is correct: PS= 4 cm

Step-by-step explanation:

As we know that ,if from the external point if a tangent will be drawn than it is equal.

See in attachment, Let draw a tangent from P then

PB=PC ...eq1

by the same way

QC=QD ....eq2

RE=RD...eq3

SE= SB...eq4

on adding eq1,2,3 and 4

we get

PS+RQ=PQ+RS

PS+9=5+8

PS=13-9

PS= 4 cm

Hope it helps you.