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rebecca1233

  • 3 years ago

In a 45°- 45°- 90° right triangle, the length of the hypotenuse is 15. How long are the legs?

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  1. rebecca1233
    • 3 years ago
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    @tcarroll010

  2. tcarroll010
    • 3 years ago
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    Because the legs will be equal in a 45-45-90 right triangle, the equation: a^2 + b^2 = c^2 becomes a^2 + a^2 = c^2 or, better, yet: 2a^2 = c^2 c=15, so: 2a^2 = 15^2 so, a = sqrt[(15^2)/2]

  3. rebecca1233
    • 3 years ago
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    so whats the othervall answer ?

  4. tcarroll010
    • 3 years ago
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    You first square 15. Take that # and divide by 2. Take that answer and get the square root of it.

  5. aroub
    • 3 years ago
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    Or, you can say that: in a 45-45-90 triangle hypotenuse=sqrt2 times any of the legs so now you just substitute.

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