English, asked by richardraju509, 6 months ago

angle abc ab=12 a=60° b=30° calculate area​

Answers

Answered by abdurrafay102003
0

Answer:

Answer is 31.2

Explanation:

I think you meant to write ∆ABC, but anyways, let's start.

  • Your ∆ is a right angle ∆ because two angles are equal to 90° ( 60+30=90) therefore the third angle will be90° by using angle sum of ∆ property:
  • 180 - 60 - 30 = 90
  • Let the third point of ∆ be C. We can find CB by using sine rule:
  •  \frac{12}{ \sin(90) }  =  \frac{cb}{ \sin(60) }
  • By using this CB's value is 10.4
  • Now we can find AC by Pythagoras Theorem.
  •  {h}^{2}  =  {p}^{2}  +  {b}^{2}
  • Which will result in the following:
  • b =  \sqrt{35.84}
  • Now we can find the area! Input the formula for the area of triangle:
  • area =  \frac{1}{2}  \times 6 \times 10.4
  • The answer will turn out to be 31.2
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