Question

In the given figure, O is any point inside a rectangle ABCD such that OB=6cm OA=5cm OD=8cm OC=?

Answer 1

hey here is your answer

Answer 2

Answer:

The length of OC is $5\sqrt{3}$ cm

Step-by-step explanation:

Please see the attachment for figure. O is nay point inside a rectangle ABCD such that OB= 6 cm, OA=5 cm OD=8 cm.

TO find:  OC=?

In ΔAPO, Using pythagoreous theorem

$OA^2=AP^2+OP^2$

In ΔCSO, Using pythagoreous theorem

$OC^2=CS^2+OS^2$

Add both equation

$OA^2+OC^2=AP^2+OP^2+CS^2+OS^2$

$OA^2+OC^2=OD^2+OB^2$

Substitute OB= 6 cm, OA=5 cm OD=8 cm.

$5^2+OC^2=6^2+8^2$

$25+OC^2=36+64$

$OC^2=75$

$OC=5\sqrt{3}$ cm

Hence, The length of OC is $5\sqrt{3}$ cm