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Itsyacoolgrl

  • one year ago

What is the area of triangle ABC?

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  1. Itsyacoolgrl
    • one year ago
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    |dw:1434573601049:dw|

  2. anonymous
    • one year ago
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    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?

  3. Itsyacoolgrl
    • one year ago
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    Yes a^2 + b^2 = c^2

  4. Itsyacoolgrl
    • one year ago
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    @Nengeni

  5. anonymous
    • one year ago
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    @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?

  6. Itsyacoolgrl
    • one year ago
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    a^2 + 7^2 = 9^2 and a^2 + 7^2 = 12^2?

  7. anonymous
    • one year ago
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    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?

  8. Itsyacoolgrl
    • one year ago
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    I know I'm supposed to multiply 15.41 by something then divide it by two. Butwhat number do I multiply 15.41 with?

  9. anonymous
    • one year ago
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    Your thinking is absolutely correct! You take the base (15.41), multiply it by the height (7), and then divide it by 2!

  10. Itsyacoolgrl
    • one year ago
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    Oh! Ok! So A= 53.935

  11. anonymous
    • one year ago
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    Exactly!

  12. Itsyacoolgrl
    • one year ago
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    Thank you!

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