Respuesta :

Answer:

  x = 26

Step-by-step explanation:

The length marked x is the hypotenuse of a right triangle with legs 10 and 24. The Pythagorean theorem can be used to find the value of x.

The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the legs:

  x² = 10² +24²

  x² = 100 +576 = 676 . . . . simplify

  x = √676 . . . . . . . take the square root

  x = 26

Answer:

The hypotenuse is 26 units

Step-by-step explanation:

Step 1:  Determine the value of x

Pythagorean theorem:  [tex]a^2 + b^2 = c^2[/tex]

[tex](24)^2+(10)^2=c^2[/tex]

[tex]576 + 100 = c^2[/tex]

[tex]676 = c^2[/tex]

[tex]26 = c[/tex]

Answer: The hypotenuse is 26 units

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