Question

13 fill in the blank 1 point the legs of a right triangle measure 6 meters and 8 meters. what is the length of the hypotenuse? choose your answer... choose your answer... 10 meters 12 meters 14 meters 100 meters

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle with legs \(a = 6\) and \(b = 8\), and hypotenuse \(c\), the Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\).
Substitute \(a = 6\) and \(b = 8\) into the formula: \(6^{2}+8^{2}=c^{2}\).
Calculate \(6^{2}=36\) and \(8^{2}=64\). Then \(36 + 64=c^{2}\), so \(c^{2}=100\).

Step2: Solve for \(c\)

Take the square root of both sides. Since \(c>0\) (length cannot be negative), \(c=\sqrt{100}\).

Answer:

10 meters