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the legs of a right triangle measure 13 centimeters and 17 centimeters. Which of the following is the measure for the longest side of the triangle?

Respuesta :

MrGumby
The longest side equals about 21.4
 
You can get this by adding together the squares of both legs then taking the square root. I rounded to a single decimal place. 

Answer with Step-by-step explanation:

In a right angled triangle the longest side is its hypotenuse.

And according to Pythagorean theorem:

Hypotenuse is equal to square root of the sum of squares of the legs of the right angled triangle.

i.e. [tex]Hypotenuse=\sqrt{x^2+y^2}[/tex]

where x and y are legs of right angled triangle

Here, x=13 and y=17

 [tex]Hypotenuse=\sqrt{13^2+17^2}[/tex]

[tex]Hypotenuse=\sqrt{458}[/tex]

Hypotenuse= 21.4 cm

Hence, measure for the longest side of the triangle is:

21.4 cm

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