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  • 01-02-2019
  • Mathematics
contestada

What is the hypotenuse of a triangle with 4 ft and 5 ft

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gmany
gmany gmany
  • 04-02-2019

Answer:

[tex]\Large\text{The hypotenuse is}\ \sqrt{41}\ ft\approx6.4\ ft[/tex]

Step-by-step explanation:

[tex]\text{Use the Pythagorean theorem:}[/tex]

[tex]a^2+b^2=c^2[/tex]

[tex]\text{a, b - legs}\\\text{c - hypotenuse}[/tex]

[tex]\text{We have the legs 4ft and 5ft. Substitute:}[/tex]

[tex]c^2=4^2+5^2\\\\c^2=16+25\\\\c^2=41\to c=\sqrt{41}[/tex]

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