Question

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

c = millimeters

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, the Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), where \(a = 8\), \(b = 6\), and \(c\) is the hypotenuse. So we substitute the values: \(8^{2}+6^{2}=c^{2}\).

Step2: Calculate the squares

\(8^{2}=64\) and \(6^{2}=36\). Then \(64 + 36=c^{2}\), so \(100=c^{2}\).

Step3: Solve for c

Take the square root of both sides: \(c=\sqrt{100}=10\).

Answer:

10