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The hypotenuse of a right triangle is 10 cm long. One of the triangles legs is three times the length of the other leg. Find the lengths of the three sides of the triangle.

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Answer:

One leg is √10cm, the other 3√10cm and hypotenuse is 10cm.

Step-by-step explanation:

Trigonometry gives us the formula h²=a²+b², were a and b are the triangle's legs. We are told that one leg is three times 3x the other leg x.

h²=(3x)²+x²

100=9x²+x²

100=10x²

100/10=x²

x²=10

x=√10

So b=√10 and a=3√10.

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