Question

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8 1 m
4.1 m
what is the length of the hypotenuse? if necessary, round to the nearest tenth.
c = \boxed{} meters
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Explanation:

Step1: Identify the formula

This is a right - triangle, so we use the Pythagorean theorem: \(a^{2}+b^{2}=c^{2}\), where \(a = 4.1\), \(b = 8.1\), and \(c\) is the hypotenuse.

Step2: Substitute the values

Substitute \(a = 4.1\) and \(b = 8.1\) into the formula: \(c^{2}=4.1^{2}+8.1^{2}\)
Calculate \(4.1^{2}=16.81\) and \(8.1^{2}=65.61\)
Then \(c^{2}=16.81 + 65.61=82.42\)

Step3: Solve for c

Take the square root of \(82.42\): \(c=\sqrt{82.42}\approx9.1\) (rounded to the nearest tenth)

Answer:

\(9.1\)