Respuesta :

amandajade

you're given the pythagorean theorem, which is a^2 + b^2 = c^2.

what you're trying to find is ?, which is the number under the radical.

let's pretend one leg is a and the other is b.

a = 9

b = 10

so let's plug it into the equation. we get 9^2 + 10^2 = c^2

so that equals 81 + 100 = c^2

181 = c^2

so c will equal the square root of 181. therefore, ? = 181.

hope i helped! good luck.

charliethebest2002

Answer:

[tex]\boxed{\sf{C=\sqrt{181} }}[/tex]

Step-by-step explanation:

Use the Pythagorean theorem formula.

Pythagorean theorem formula:

[tex]\Longrightarrow \sf{A^2+B^2=C^2}[/tex]

A²=9

B²=10

C²=???

9²+10²=c²

Use the order of operations.

PEMDAS stands for:

  • Parentheses
  • Exponents
  • Multiply
  • Divide
  • Add
  • Subtract

Do exponents.

9²=9*9=81

81+10²=c²

10²=10*10=100

Rewrite the problem down.

81+100=c²

Then, add.

81+100=181

[tex]\longrightarrow \boxed{\sf{181}}[/tex]

The missing length of c is 181.

Therefore, the correct answer is 181.

To learn more about Pythagorean theorem:

https://brainly.com/question/26183488

#SPJ1

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