Answer:
7. [tex]c = 15.81[/tex]
8. [tex]b = 16[/tex]
Step-by-step explanation:
Required
Determine the third sides
(7): We have
[tex]b = 5[/tex]
[tex]a = 15[/tex]
[tex]c=??[/tex]
To find c, we make use of Pythagoras theorem
[tex]c^2 = a^2 + b^2[/tex]
[tex]c^2 = 5^2 + 15^2[/tex]
[tex]c^2 = 250[/tex]
[tex]c = \sqrt{250[/tex]
[tex]c = 15.81[/tex]
(8): We have
[tex]c = 20[/tex]
[tex]a = 12[/tex]
[tex]b = ??[/tex]
To find c, we make use of Pythagoras theorem
[tex]c^2 = a^2 + b^2[/tex]
[tex]20^2 = 12^2 + b^2[/tex]
[tex]400 = 144 + b^2[/tex]
[tex]b^2 = 400 - 144[/tex]
[tex]b^2 = 256[/tex]
[tex]b = \sqrt{256[/tex]
[tex]b = 16[/tex]
