Answer:
c = 13
Step-by-step 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!)
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]5^{2} + 12^{2} = c^{2}[/tex]
[tex]25 + 144 = c^{2}[/tex]
[tex]169 = c^{2}[/tex]
[tex]\sqrt{169} = \sqrt{c^{2}}[/tex]
13 = c
