What happens if the length of the
hypotenuse is missing?
• We can solve for the length of
the hypotenuse
• Let's use the Pythagorean
Theorem
a?+ b2 = c2
2222
3
Solve:
5

What happens if the length of the hypotenuse is missing We can solve for the length of the hypotenuse Lets use the Pythagorean Theorem a b2 c2 2222 3 Solve 5 class=

Respuesta :

Answer:

c² = 34

Explanation:

Pythagorean Theorem: a² + b² = c²

  • Insert 3 and 5 into the equation

3² + 5² = c²

  • Simplify

3² = 9

5² = 25

9 + 25 = 34

34 = c²

- PNW

Answer:

[tex]\boxed{\boxed{\sf~c^2=34}}[/tex]

Solution Steps:

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1.) To find c, you must fill in the formula:

  • Formula: [tex]a^2+b^2=c^2[/tex]
  • [tex]a^2=3^2[/tex]
  • [tex]b^2=5^2[/tex]

 - When finding c, it doesn't matter what you put for a or b. So if you want to make a = 5, and b = 3, it wouldn't make any difference.

2.) Find the powers of a and b:

  • [tex]3^2=9[/tex]
  • [tex]5^2=25[/tex]

3.) Add a and b together:

  • [tex]9+25=34[/tex]

______________________________

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