Question

The area of a convex quadrilateral ABCD, if AC L BD, AC= 3 cm and BD = 8 cm is
(A) 12 cm2

(B) 11 cm 2


(C) 24 cm2

(D) none of these​

Answer 1

Step-by-step explanation:

Call the perpendicular intersection E.

ABC is a triangle with base AC=3 and height h=BE.

ADC is a triangle with base AC=3 and height ED=BD−h=8−h

The area is the sum of 12bh for each triangle.

area=12(3)(h)+12(3)(8−h)=12(3)8=12 sq cm