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If one leg of a right triangle is 8 mm and the other leg is 5 mm, what is the approximate length of the hypotenuse of the triangle? round your answer to the nearest whole.

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TheWiseOrange
Answer: 9 mm

Explanation:

a² + b² = c²
8² + 5² = c²
c² = 64 + 25
c² = 89
c= √89
c = 9 mm (nearest whole number)
The formula to calculate the missing side of a triangle is the Pythagorean theorem:

c² = a² + b²

In your case, c will be the hypotenuse:

[tex] c^{2} = 8^{2} + 5^{2} [/tex]
[tex] c^{2} = 64 + 25[/tex]
[tex] c^{2} = 89[/tex]
[tex] c = \sqrt{89} [/tex]
[tex]c = 9,43[/tex] 

The answer is 9mm.

Hope it helped!

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