construct a quadrilateral Di Aas h with equal to 4.5 CM A is equals to 5 cm D = 200 degree equals to 120 degree and as equals to 60 degree
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Step-by-step explanation:
A quadrilateral ABCD with DC = 17 cm, AD = 9 cm and BC = 8 cm (Given)
In right ΔABD,
Using Pythagorean Theorem,
AB2 + AD2 = BD2
152 = AB2 + 92
AB2 = 225−81=144
AB = 12
Area of ΔABD = 1/2(12×9) cm2 = 54 cm2
In right ΔBCD:
Using Pythagorean Theorem,
CD2 = BD2 + BC2
172 = BD2 + 82
BD2 = 289 – 64 = 225
or BD = 15
Area of ΔBCD = 1/2(8×17) cm2 = 68 cm2
Now, area of quadrilateral ABCD = Area of ΔABD + Area of ΔBCD
= 54 cm2 + 68 cm2
= 112 cm2
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