What is the length of the hypotenuse of the triangle when x=7?
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Answer:
[tex]\approx63[/tex]
Step-by-step explanation:
Let's start by finding the length of each leg.
[tex]7x+7=7(7)+7=49+7=56\\4x=4(7)=28[/tex]
Now, we can use the Pythagorean Theorem to find the length of the hypotenuse.
[tex]a^2+b^2=c^2[/tex]
[tex]28^2+56^2=c^2\\784+3136=c^2\\3920=c^2[/tex]
Take the square root of both sides:
[tex]c\approx63[/tex]