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HELP PLEASE GIVING 30 POINTS

HELP PLEASE GIVING 30 POINTS-example-1

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7 votes

Answer:

the ladder is 5 ft from the base of the wall.

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To find the unknown length, we need to use the Pythagorean Theorem

  • The Pythagorean Theorem is a²+b²=c²

Since the legs are x and 12 this means that a=x and b=12

Also, since the hypotenuse is 13, this means that c=13.

  • Plug in a=x, b=12, c=13
  • x²+12²=13²
  • x²+144=169

Subtract 144 from both sides.

  • x²=169-144

Combine like terms.

  • x²=25

Take the square root of both sides.

  • x=√25

x=5 Simplify the square root.

Answer:

So the solution is x=5 which means that the foot of the ladder is 5 ft from the base of the wall.

User Dsh
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