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The hypotenuse of a right triangle is 45 inches with one of the sides being 18 inches. Find the missing side length. Round to the nearest hundreth(IM FAILING PLEASE HELP ASAP)

Sagot :

Answer:

41.24

Step-by-step explanation:

We can use the pythagorean theorem.

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

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

[tex]a^2 = leg[/tex]

[tex]b^2=leg[/tex]

[tex]c^2=hypotenuse[/tex]

45 is the hypotenuse length

One of the legs is 18 inches

[tex]45^2-18^2=a^2[/tex]

[tex]45^2=45*45=2025[/tex]

[tex]18^2=18*18= 324[/tex]

2025 - 324 = [tex]1701[/tex]

[tex]\sqrt{1701}[/tex] rounded to the nearest hundredth ≈ 41.24

Hope this helps :)