Question

Rectangle ABCD is formed in a circle as shown in Figure. If AE = 8 cm and AD = 5 cm, find the perimeter of the rectangle. ​

Answer 1

The perimeter of rectangle is 34cm.

AE = 8 cm  (Given)

AD = 5 cm (Given)

Let the Radius be = DE

DE = AE + AD  

= 8 + 15 = 13

Thus, DB = AC = 13 ( As diagonals of the rectangel are equal )

In right ADC

AC² = AD² + DC²

13² = 5² + DC

169 = 25 + DC

DC² = 169 - 25

DC² = 144

DC = √144

DC = 12

Perimeter of rectangle ABCD = 2 ( AD + DC)

= 2 ( 5 + 12)

= 2 × 17

= 34

Thus, the perimeter of rectangle is 34cm.

Answer 2

Answer:

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Step-by-step explanation:

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