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algol [13]
3 years ago
14

A 30 60 90 triangle with a hypotnuse of 10 square roots of 47. Solve for all the sides please?

Mathematics
1 answer:
Pepsi [2]3 years ago
7 0

Answer:

The shorter side is 5\sqrt{47} and the longer side is 5\sqrt{141}.

Step-by-step explanation:

For a 30 60 90 right triangle, the hypotenuse is x, the shorter side is 22x, and the longer side is x\sqrt{3}.

10\sqrt{47} divided by 2 is 5\sqrt{47}

(5\sqrt{47})\sqrt{3} = 5\sqrt{141}

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