Question

solve for c.
9
c
12
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 \(a = 9\), \(b = 12\). So \(9^2+12^2=c^2\).

Step2: Calculate \(a^2\) and \(b^2\)

\(9^2 = 81\), \(12^2=144\). Then \(81 + 144=c^2\), so \(c^2=225\).

Step3: Solve for \(c\)

\(c=\sqrt{225}\). Since \(15\times15 = 225\), \(c = 15\).

Answer:

\(15\)