Question

what is the length of the hypotenuse? if necessary, round to the nearest tenth.
c = meters

Explanation:

Step1: Identify the formula

This is a right - triangle, so we use the Pythagorean theorem, which states that for a right - triangle with legs \(a\) and \(b\) and hypotenuse \(c\), \(c^{2}=a^{2}+b^{2}\). Here, \(a = 60\) m and \(b=80\) m.

Step2: Substitute the values

Substitute \(a = 60\) and \(b = 80\) into the formula: \(c^{2}=60^{2}+80^{2}\). Calculate \(60^{2}=3600\) and \(80^{2}=6400\). Then \(c^{2}=3600 + 6400=10000\).

Step3: Solve for c

Take the square root of both sides: \(c=\sqrt{10000}=100\) (since length cannot be negative).

Answer:

100