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nignag [31]
3 years ago
12

The hypotenuse of a right triangle is three times the length of its first leg. The length of the other leg is four feet. Find th

e lengths of the first leg and the hypotenuse and enter them in the below spaces in this order. For non-integer answer(s), round your answer(s) to the nearest tenth.
Mathematics
1 answer:
ioda3 years ago
5 0

Answer:

The length of hypotenuse is 4.2 feet and length of first leg is 1.4 feet.

Step-by-step explanation:

Consider the provided information.

Let x is the length of the first leg.

It is given that the hypotenuse of a right triangle is three times the length of its first leg.

Hypotenuse = 3x

The length of the other leg is 4 feet.

Pythagorean theorem.

a^2+b^2=c^2

Where a and b are the legs and c is the hypotenuse.

Substitute the respective values in the above formula.

x^2+4^2=(3x)^2

x^2+16=9x^2

16=8x^2

2=x^2

\sqrt{2}=x

x = 1.4 feet(nearest tenth)

The length of hypotenuse = 3x = 3×1.4 = 4.2 feet

The length of hypotenuse is 4.2 feet and length of first leg is 1.4 feet.

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