Find the area of a cyclic quadrilateral whose sides are 8 cm,10 cm,12 cm and 16 cm.

A- ROOT 15015

B- root 30030

C-root 10010

D- none of these

PLZ SHOW THE ENTIRE WORKING

Question

Find the area of a cyclic quadrilateral whose sides are 8 cm,10
cm,12 cm and 16 cm
A- ROOT 15015
B- root 30030
C-root 10010
D- none of these
PLZ SHOW THE ENTIRE WORKING

Aakash Sharma · Accepted Answer

Given : Sides of a cyclic quadrilateral are a = 8 cm, b = 10 cm, c = 12 cm, d = 16 cm â‡’ Semi perimeter (s) = $\frac{8 c m + 10 c m + 12 c m + 16 c m}{2} = \frac{46 c m}{2}$ = 23 cm Hence, Required area (A) = $\sqrt{(s - a) (s - b) (s - c) (s - d)} = \sqrt{(23 - 8) (23 - 10) (23 - 12) (23 - 16) {c m}^{4}} = \sqrt{15 \times 13 \times 11 \times 7} {c m}^{2} = \sqrt{15015} {c m}^{2}$

Find the area of a cyclic quadrilateral whose sides are 8 cm,10 cm,12 cm and 16 cm. A- ROOT 15015 B- root 30030 C-root 10010 D- none of these PLZ SHOW THE ENTIRE WORKING

Find the area of a cyclic quadrilateral whose sides are 8 cm,10 cm,12 cm and 16 cm.

A- ROOT 15015

B- root 30030

C-root 10010

D- none of these

PLZ SHOW THE ENTIRE WORKING