Itsyacoolgrl
  • Itsyacoolgrl
What is the area of triangle ABC?
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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Itsyacoolgrl
  • Itsyacoolgrl
|dw:1434573601049:dw|
anonymous
  • anonymous
Hi @Itsyacoolgrl We know that the area of a triangle is given with this equation. \[Area (Triangle) = 1/2 * Base * Height\] That being said, your diagram doesn't have a length given for the base. Are you familiar with the pythagorean theorem?
Itsyacoolgrl
  • Itsyacoolgrl
Yes a^2 + b^2 = c^2

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Itsyacoolgrl
  • Itsyacoolgrl
@Nengeni
anonymous
  • anonymous
@Itsyacoolgrl That's good, what you need to do is use the pythagorean theorem to find the length of the base. If you notice, your diagram can easily be split down the middle into two different triangles like so |dw:1434574202104:dw| Do you think you are able to use the pythagorean theorem to find the missing side lengths?
Itsyacoolgrl
  • Itsyacoolgrl
a^2 + 7^2 = 9^2 and a^2 + 7^2 = 12^2?
anonymous
  • anonymous
Very good. Solving for those equations gives us a base length of 5.66 on the left triangle and 9.75 on the right triangle. When we put those together, we get a base length of 5.66+9.75 or 15.41. Do you think you are able to solve the question now?
Itsyacoolgrl
  • Itsyacoolgrl
I know I'm supposed to multiply 15.41 by something then divide it by two. Butwhat number do I multiply 15.41 with?
anonymous
  • anonymous
Your thinking is absolutely correct! You take the base (15.41), multiply it by the height (7), and then divide it by 2!
Itsyacoolgrl
  • Itsyacoolgrl
Oh! Ok! So A= 53.935
anonymous
  • anonymous
Exactly!
Itsyacoolgrl
  • Itsyacoolgrl
Thank you!

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