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anonymous

  • 4 years ago

theres a square connected to a 30-60-90 triangle by the short leg, the diagonal of the square is 20. How do you find the short leg

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  1. anonymous
    • 4 years ago
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    |dw:1327039085619:dw| looks like this

  2. dumbcow
    • 4 years ago
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    well the triangle is irrelevant in this case. if i know the diagonal of the square i can find its sides Let x be length of side of square: x^2 + x^2 = 20^2 2x^2 = 400 x^2 = 200 x = sqrt(200) = 10sqrt(2)

  3. anonymous
    • 4 years ago
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    so the sides of the square are 10?

  4. dumbcow
    • 4 years ago
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    ?? No, its using pythagorean theorem a^2 +b^2 = c^2 x = 10sqrt(2)

  5. anonymous
    • 4 years ago
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    ok then 10 is x ?

  6. dumbcow
    • 4 years ago
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    x = 10sqrt(2)

  7. anonymous
    • 4 years ago
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    ok so 10 radical 2?

  8. dumbcow
    • 4 years ago
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    :)

  9. anonymous
    • 4 years ago
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    THANK U!!!

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