Question

in the figure ac:cd:bd =1:2:1 the area of the ECD is 8sq.cm find area of eac
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Answer 1

Answer:

Step-by-step explanation:

1

In △ ACD,

Since, AC = CD

∠CAD=∠CDA=x (Angles opposite to equal sides are equal)

Sum of angles of the triangle,

∠ACD+∠CAD+∠CDA=180

58+2x=180

2x=122

x=61

In △ABD,

AD = BD thus, ∠ABD=∠DAB=y

Also, ∠ABD+∠DAB=∠ADC (Exterior angle is equal to sum of opposite interior angles)

2∠ABD=61

∠ABD=30.5  

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