Answer:
c = 13
Explanation:
Let's first figure out the lengths of RQ and PR. Just count the units.
RQ = 5 units
PR = 12 units
Since we know this is a right triangle, we can use the Pythagorean Theorem. (Or remember that 5, 12, 13 is a Pythagorean triple, so we know PQ = 13!)
![a^(2) + b^(2) = c^(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/1n2ad8w2wbwa11yln029p9g2w12jvv8kfd.png)
![5^(2) + 12^(2) = c^(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/akc2hl99mj0raeewt2g0x8v5zsb03qh03r.png)
![25 + 144 = c^(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/tl877kx5uocwyv8urq6c90zw0g5v0vbuvb.png)
![169 = c^(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/cwbkf8acfroy29grq2c91agk2do0buggc8.png)
![√(169) = \sqrt{c^(2)}](https://img.qammunity.org/2021/formulas/mathematics/middle-school/hn1kefetrnpfp0wni3chov9tysjxdgkerf.png)
13 = c