Question

a circle is inscribed in a quadrilateral ABCD touching the sides AB, BC,CD and AD at P Q R S respectively. if the radius of the circle is 10cm , BC 38cm, PB 27cm and AD perpendicular to CD . find the length of CD​

Answer 1

Hello Mate,

We know that tangent segments to a

circle from the same external point

are congruent.

Therefore, we have÷

BP BQ= 27 cm

CQ=CR

Now, BC=38 cm

BQ+QC=38

OC =38-27=11cm

Since, all the angles in quadrilateral

DROS are right angles.

Hence, DROS is a rectangle.

We know that opposite sides of

rectangle are equal

OS= RD=10cm

Now, CD = CR + RD

= CO+ RD

= 11+10

= 21cm

Hope this helps you

Answer 2

Answer:

21 cm

Step-by-step explanation:

hope this helps you