The measurements of a triangular garden are shown below. What is the area of the garden? Round your answer to the nearest tenth of a square foot and enter the numeric answer only. (Picture is not to scale.)

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anonymous · Answer

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anonymous · Answer

Well when you have triangle as |dw:1374458583087:dw| where A,B, and C are angles, and a,b, and c are the sides of the triangle, you have a theorem that states that the area of the triangle is the same as 1/2(2 sides and the angle included) $$\frac{1}{2}bcSinA=\frac{1}{2}baSinC=\frac{1}{2}abSinB $$

anonymous · Answer

And you have two sides (8) and (13) and you have their included angle (70) degrees so just plug it in the formula

anonymous · Answer

Thank you! =)

anonymous · Answer

Here's an explanation for your refernce =) http://www.regentsprep.org/Regents/math/algtrig/ATT13/areatriglesson.htm

anonymous · Answer

Thanks for the help! Now I get it! =)

anonymous · Answer

You're welcome, let me know if you need anything else, and rememebr, don't be shy to give a testimonial and give tips on how I can be a better mentor! (y)

anonymous · Answer

@doulikepiecauseidont 
Sorry to bug you again, but could you tell me what the answer is! I'm not sure about what I got!

anonymous · Answer

huh? Remember we determined that one triangle could be formed since when we found the other side with the law of cosines and then we set up the triangle inequality. So we got one triangle, what happend that was wrong?

anonymous · Answer

Oh, okay, sorry thanks again!

anonymous · Answer

Anytime