ABC is an equilateral triangle with each side of length 10 cm in ∆BCD angle D is 90° and CD= 6 cm find the area of the shaded region give your answer correct to one decimal place
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Given side of Equilateral ∆ = √3/4a²
a= 10 cm
Area = √3/4 ×10 ×10 cm2
Area = 100√3/4 cm² = 43.3
Now In ∆ BDC
/_ D = 90°
BC² = BD² + CD²
100 = 36 + CD²
CD = √64 = 8
Area of ∆ BDC =
1/2 * b * h
1/2 * 6 * 8 = 24
Area of shaded region = 43.3 - 24 =19 .3 cm²
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