SOLUTION: If a diagram shows a 30-60-90 triangle with a square on each side. The side opposite to the 30 angle is 10 units and the side opposite to the 60 angle is 10 *the square root of 3.

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Question 939063: If a diagram shows a 30-60-90 triangle with a square on each side. The side opposite to the 30 angle is 10 units and the side opposite to the 60 angle is 10 *the square root of 3. Using the areas of the squares to show that the squares on each side of the triangle satisfy the pythagorean relationship A squared+B squared=C squared what is c squared
Answer by stanbon(75887) About Me  (Show Source):
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If a diagram shows a 30-60-90 triangle with a square on each side. The side opposite to the 30 angle is 10 units and the side opposite to the 60 angle is 10 *the square root of 3. Using the areas of the squares to show that the squares on each side of the triangle satisfy the pythagorean relationship A squared+B squared=C squared what is c squared
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C^2 = 10^2 + (10sqrt(3))^2 = 100 + 300 = 400
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C = sqrt(400) = 20
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Cheers,
Stan H.
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