Answer:
13) [tex]\sqrt{8} = 2.828[/tex]
14) [tex]\sqrt{130} = 11.402[/tex]
Step-by-step explanation:
First, we must understand the Pythagorean Theorem. It states that when the side lengths are a, b, and c, where c is the hypotenuse, [tex]a^{2} + b^{2} = c^{2}[/tex]. When we plug this into question 13, we get [tex]a^{2} + 1 = 3^{3}[/tex], so [tex]a^{2} = 8, a = \sqrt{8}[/tex]. Next, when we plug this into question 14, we get [tex]9^{2} + 7^{2} = c^{2}[/tex], so [tex]130 = c^{2}; c = \sqrt{130}[/tex].
(exact answer are on the top, rounded to three decimal points)
