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A right triangle has legs that measure 5cm and 6cm, what is the length of the hypotenuse?

Sagot :

420vibesss
You require the Pythagorean Theorem: in a right triangle the sum of the squares of the legs equals the square of the hypotenuse.
In this case 6^2 + 8^2 = 36 + 64 = 100 = 10^2, i.e. the hypotenuse is 10.
Please note that a so-called 3-4-5 right triangle is the smallest right triangle which has integer sides...and of course, a 6-8-10 triangle like this one is simply a magnification of the smaller, i.e. a so-called similar triangle.
For your edification, can you find the next bigger right triangle with integer sides?
kynxkatz

Answer:

[tex]\sqrt{5^{2} } +\sqrt{6}^{2} =7.81[/tex]

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