Question

6 15) If ö is ' any point inside the "rectangle IABCD such that OB=2cm, OD 3 then OC=? OA= 1cm​

Answer 1

❥︎ANSWER

Given, ABCD is a rectangle. O is any point inside the rectangle.

Construction: Construct perpendiculars OP, OQ, OR, OS on each side. 

Now, OA2+OC2=(AS2+OS2)+(OQ2+QC2) (Considering right triangles ASO and COQ)

But AS=BQ and QC=SD, Therefore,

OA2+OC2=(BQ2+OS2)+(OQ2+SD2)

OA2+OC2=(BQ2+OQ2)+(OS2+SD2)

OA2+OC2=OB2+OD2 (Considering right triangles OSD and OBQ)

❥︎THANKS

I hope it will help you.