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Use the Pythagorean theorem to find the unknown side of the right triangle.
15
36



A right triangle has a vertical side of length 15, a horizontal side of length 36, and an unlabeled hypotenuse.
Hypotenuse lengthequals=3 StartRoot 169 EndRoot3169
​(Simplify your answer. Type exact​ answers, using radicals as​ needed.)

Respuesta :

absor201

The length of hypotenuse is 39.

Step-by-step explanation:

Given,

Vertical side = a = 15

Horizontal side = b = 36

Hypotenuse = c

Using pythagorean theorem

[tex]a^2+b^2=c^2\\(15)^2+(36)^2=c^2\\225+1296=c^2\\1521=c^2\\c^2=1521[/tex]

Taking square root on both sides

[tex]\sqrt{c^2}=\sqrt{1521}\\c=39[/tex]

The length of hypotenuse is 39.

Keywords: square root, addition

Learn more about square roots at:

  • brainly.com/question/9196410
  • brainly.com/question/9178881

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