Question

find the area of a quadrilateral ABCD in which AB = 3 cm BC = 4 cm CD = 4 cm DA = 5 cm and AC = 5 cm​

Answer 1

Answer :

Are of figure ABCD= Area of Triangle ABC and Triangle ADC

Consider ∆ ABC

Using Heron's Formula

√6(3)(1)(2)

= √2×3×3×1×2

= 2×3

= 6cm²

Consider ∆ ADC

Using Heron's Formula

=√7(2)(2)(3)

=2√21 cm²

Area of figure ABCD= 2√21+ 6 cm²