Question

use your notes in your packet to show work
12 cm
10.5 cm
set up the problem:
solution: x = cm (rounded to the nearest hundredths.)

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$, where \(a = 12\), \(b=10.5\), \(c = x\)

Step2: Substitute values

$$12^{2}+10.5^{2}=x^{2}$$
$$144 + 110.25=x^{2}$$
$$x^{2}=254.25$$

Step3: Solve for \(x\)

$$x=\sqrt{254.25}\approx15.95$$

Answer:

Set up the problem: \(12^{2}+10.5^{2}=x^{2}\)
Solution: \(x\approx15.95\) cm