The foot of the leaning against the wall is 5ft away from the wall and its top is 12ft. Above the ground. What is the length of the ladder?

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The foot of the leaning against the wall is 5ft away from the wall and its top is 12ft. Above the ground. What is the length of the ladder?

✏️RIGHT TRIANGLE

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Problem: The foot of the leaning against the wall is 5ft away from the wall and its top is 12ft above the ground. What is the length of the ladder?

Solution: Apply the Pythagorean Theorem to find the length of the ladder.

  •  {c}^{2}  =  {5}^{2}  +  {12}^{2}
  •  {c}^{2}  = 25 + 144
  •  {c}^{2}  = 169
  •  \sqrt{ {c}^{2} }  =  \sqrt{169}
  • c = 13

– Therefore, the length of the ladder is:

  •  \large \rm Hypotenuse =  \boxed{ \rm \green{ \: 13 \: ft \: }}

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