Area of cyclic quadrilateral by formula and by a shortcut

Area of cyclic quadrilateral by formula and by a shortcut

[@user-yu4xy8cw8w]

Соединить точки А и С. Получим два прямоугольных треугольника.

[@sscselector]

Exactly

[@user-yu4xy8cw8w]

Треугольник АВС - прямоугольный. Его площадь равна 12×7=84. Треугольник АДС тоже прямоугольный . Его площадь равна 10×15=150. Итак: площадь АВСD=84+150=234.

[@sscselector]

Good

[@vcvartak7111]

Formula for cyclic quadrilateral is new to me. There is similar formula for area of triangle

[@sscselector]

Yes, this is one similar to Heron's formula with slight difference

[@shreyanshpatel9740]

Brahmgupta formula
kahte hai uss formula ko
class 10

[@sscselector]

Oh, thanks for the info.

[@user-mx8sj1nc6v]

I would like to mention that in other similar cases you can use cosine rule: AC^2 = ....... and if angle B is alpha then angle D is 180 - alpha .... So you can find cos(alpha) ...

[@sscselector]

Ok Great