Answer:
16. x = 15
17. x = 5
18. x = 34.2
Step-by-step explanation:
We are given right angled triangles so using the Pythagoras Theorem to find the length of the unknown side for each triangle:
[tex]a^2=b^2+c^2[/tex]
16. x = 15
[tex] x = \sqrt {9^2+12^2} [/tex]
[tex] x = \sqrt {81 + 144} [/tex]
[tex] x = \sqrt {225} [/tex]
[tex] x = 15 [/tex]
17. x = 5
[tex] 13^2 = x^2 + 12^2 [/tex]
[tex] 169 = x^2 + 144 [/tex]
[tex] x^2 = 196 - 144 [/tex]
[tex]\sqrt{x^2} =\sqrt{25}[/tex]
[tex]x=5[/tex]
18. x = 34.2
[tex]x= \sqrt{12^2+32^2}[/tex]
[tex]x=\sqrt{144+1024}[/tex]
[tex]x=\sqrt{1168}[/tex]
[tex]x=34.2[/tex]
