Question

solve for c.
7
c
9
c = ?
pythagorean theorem: a² + b² = c²
round your answer to the nearest hundredth.

Explanation:

Step1: Substitute values into Pythagorean Theorem

$$a^2 + b^2 = c^2$$
Here \(a = 7\), \(b=9\). So \(7^2+9^2=c^2\).

Step2: Calculate \(7^2\) and \(9^2\)

\(7^2 = 49\), \(9^2=81\). Then \(49 + 81=c^2\), so \(c^2=130\).

Step3: Solve for \(c\)

\(c=\sqrt{130}\approx11.40\)

Answer:

\(11.40\)