The quadrilateral

The quadrilateral ABCD is composed of two right triangles ABD and BCD. For side lengths: |AD| = 3cm, | BC | = 12cm, | BD | = 5cm. How many square centimeters (area) does the quadrilateral ABCD have? The angles DAB and DBC are right.

Correct answer:

S =  36 cm2

Step-by-step explanation:

AD=3 cm BC=12 cm BD=5 cm  AB=BD2AD2=5232=4 cm S1=AD AB2=3 42=6 cm2  S2=BD BC2=5 122=30 cm2  S=S1+S2=6+30=36 cm2

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