One leg of a right triangle is 3.2 centimeters long. The length of the second leg is 5.7 centimeters. What is the length of the hypotenuse?

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One leg of a right triangle is 3.2 centimeters long. The length of the second leg is 5.7 centimeters. What is the length of the hypotenuse?

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Answer 1 · 2016-12-01T10:24:11

Hypotenuse of right triangle is $6.54 (2 d p)$ $6.54(2dp)$ cm long.

Explanation:

Let first leg of righr triangle be $l_{1} = 3.2$ $l_1 = 3.2$ cm.

Second leg of righr triangle be $l_{2} = 5.7$ $l_2 = 5.7$ cm.

Hypotenuse of a right triangle is $h = \sqrt{l_{1}^{2} + l_{2}^{2}} = \sqrt{{3.2}^{2} + {5.7}^{2}} = \sqrt{42.73} = 6.54 (2 d p)$ $h=sqrt(l_1^2+l_2^2) = sqrt(3.2^2+5.7^2)=sqrt42.73= 6.54(2dp)$ cm.[Ans]

Answer 2 · 2016-12-01T11:39:29

6.5 cm

Explanation:

The Pythagorean Theorem defines the relationship of the sides of a right triangle. It is:
$a^{2} + b^{2} = h^{2}$ $a^2 + b^2 = h^2$ where a and b are the lengths of the sides, and h is the length of the hypotenuse.
${(3.2)}^{2} + {(5.7)}^{2} = h^{2}$ $(3.2)^2 + (5.7)^2 = h^2$
10.24 + 32.49 = $h^{2}$ $h^2$
42.73 = $h^{2}$ $h^2$
h = 6.5 cm

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One leg of a right triangle is 3.2 centimeters long. The length of the second leg is 5.7 centimeters. What is the length of the hypotenuse?

2 Answers

Explanation:

Explanation:

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