The area of a convex quadrilateral ABCD , if AC is perpendicular to BD , AC = 3 cm and BD = 8 cm is ?
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ABC is a triangle with base [math]AC=3[/math] and height [math]h=BE.[/math]
ADC is a triangle with base [math]AC=3[/math] and height [math]ED=BD-h=8-h[/math]
The area is the sum of [math]\frac 1 2 b h[/math] for each triangle.
[math]\textrm{area} = \frac 1 2 (3)(h) + \frac 1 2 (3)(8 -h) = \frac 1 2 (3) 8 = 12 \textrm{ sq cm}[/math]
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