How to Solve Pythagorean Theorem Word Problems | Trigonometry ... - Free Printable

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We are given a right triangle formed by a ladder leaning against a wall. The sides are labeled:

- c = 25 → this is the hypotenuse (the ladder)
- a = 15 → this is the vertical side (height up the wall)
- b = ? → this is the horizontal side (distance from wall to base of ladder)

Since it’s a right triangle, we can use the Pythagorean theorem:

> a² + b² = c²

Plug in what we know:

> 15² + b² = 25²
> 225 + b² = 625

Now subtract 225 from both sides:

> b² = 625 - 225
> b² = 400

Take the square root of both sides:

> b = √400
> b = 20

✔ Double-check: 15² + 20² = 225 + 400 = 625 = 25² — correct!

Final Answer:
20

Parent Tip: Review the logic above to help your child master the concept of pythagorean theorem problems worked out.

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