Answer:
5) [tex]x=\sqrt{317}[/tex]
6) [tex]x = \sqrt{186}[/tex]
Step-by-step explanation:
You have to know Pythogeroem theorem, which is:
[tex]a^2 +b^2 = c^2[/tex], where a, b are the sides of the triangle and c is the hypothesis (the side in front of the 90° angle)
5)
Plug in the numbers into the equation, make sure c is the hypothesis (the side in front of the 90° angle). Hypothesis is x in this example.
[tex]14^2+11^2 = x^2\\196 + 121 = x^2\\\sqrt{196 + 121} = x\\\sqrt{317} = x[/tex]
6) Hypothesis is [tex]\sqrt{226}[/tex]
[tex]7^2 + x^2 = \sqrt{226}^2\\7^2 + x^2 = 226\\49 + x^2 = 226\\x^2 = 186\\x= \sqrt{186}\\[/tex]
Same steps for 7) and 8)
