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Home / Use Pythagorean theorem: \( 13^2 = 12^2 + b^2 \).

Use Pythagorean theorem: \( 13^2 = 12^2 + b^2 \).

February 22, 2026

$Use Pythagorean theorem: \( 13^2 = 12^2 + b^2 \).$

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Equate exponents: \( x + 1 = 4 \).
Solve: \( x = 3 \).
A ladder 13 meters long leans against a wall, reaching a height of 12 meters. How far is the base of the ladder from the wall?
\( 169 = 144 + b^2 \).
\( b^2 = 25 \) implies \( b = 5 \) meters.
#### 5 meters

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Tiempo a velocidad inicial = 2 horas

Tiempo a nueva velocidad = 5 h - 2 h = 3 horas

Distancia total = 120 km + 216 km = 336 km

Agua total = 60 litros + 45 litros = 105 litros

But sum must be integer — likely typo or need exact fraction.

But problem expects integer — reconsider:

Alternatively, perhaps the 210 is approximate?

But per exact math, no integer solution.

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