Answer:
9) 25 is the hypotenuse so it should be replaced with c, not a or b.
10) 6.5 feet
Step-by-step explanation:
9) The pythagorean theorem is [tex]a^2+b^2=c^2[/tex].
The pythagorean theorem says that c MUST always be the hypotenuse length. The hypotenuse side can be identified because it is always on the opposite side of the right angle and the diagonal one (and of course the longest side).
a and b can be any other side except for c. What they did wrong was that they put the hypotenuse side as b.
Now to correct the error
[tex]a^2+b^2=c^2\\7^2+b^2=25^2\\49+b^2=625\\49+b^2-49=625-49\\b^2=576\\[/tex]
[tex]\sqrt{b^2}=\sqrt{576} \\b=24[/tex]
The missing side length is 24.
10) The question is asking for the c length (which is the hypotenuse). Use pythagorean theorem to solve for c.
[tex]a^2+b^2=c^2\\5.6^2+3.3^2=c^2\\42.25=c^2\\\sqrt{42.25}=\sqrt{c^2}\\6.5=c[/tex]
The length of the wire is 6.5 feet.
