Respuesta :

Answer:

You know that the Pythagorean Theorem is:

a²+b²=c²

,

Where:

a

is the length of one of the legs,

b

is the length of the other leg, and

c

is the length of the hypotenuse.

You know the lengths of the two legs are

7 and 11

, so we'll say that

a is 7 , and b is 11

Knowing that, we can plug those into our equation and simplify like so:

7²+11²=c²

49+121=c²

170=c²

√170=c

c=13.0384

Answer:

  • √72

Step-by-step explanation:

Use Pythagorean:

  • h² + (14/2)² = 11²
  • h² + 49 = 121
  • h² = 121 - 49
  • h² = 72
  • h = √72 in
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