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What is the length of the hypotenuse of the triangle when x=7​?

What Is The Length Of The Hypotenuse Of The Triangle When X7 class=

Sagot :

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]

Answer:
Length of Hypotenuse
Decimal Form: 68.609
Radical Form: 28 * sqrt(5)