Find the area of quadrilateral ABCD in which diagonal BD = 24 cm. AL ⊥ BD and CM ⊥ BD such that AL = 5 cm and CM = 8 cm.
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in triangle ABD
1/2 × base × height
1/2 × 24 × 5
=60
in triangle BCD
1/2 × base × height
1/2 × 24× 8
=96
adding both areas
=60+96
=156
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