Question

1. use the pythagorean theorem to find c. round to the nearest tenth.

Explanation:

Step1: Recall Pythagorean Theorem

The Pythagorean Theorem states that for a right triangle with legs \(a\) and \(b\), and hypotenuse \(c\), \(a^2 + b^2 = c^2\). Here, \(a = 6\) and \(b = 8\).

Step2: Substitute values into the formula

Substitute \(a = 6\) and \(b = 8\) into \(a^2 + b^2 = c^2\):
\(6^2 + 8^2 = c^2\)
Calculate \(6^2 = 36\) and \(8^2 = 64\), so \(36 + 64 = c^2\).

Step3: Simplify the equation

\(36 + 64 = 100\), so \(c^2 = 100\).

Step4: Solve for \(c\)

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

Answer:

\(c = 10\)