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Home » Final answer: $ \boxed{\sqrt7 - \sqrt2} $ - Roya Kabuki

Final answer: $ \boxed{\sqrt7 - \sqrt2} $ - Roya Kabuki

📅 May 8, 2026 👤 scraface

May 08, 2026

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Let the shorter leg be \( x \). Then the other leg is \( x + 6 \).
\( x^2 + (x + 6)^2 = 15^2 \)
Expand: \( x^2 + x^2 + 12x + 36 = 225 \)
Combine: \( 2x^2 + 12x + 36 = 225 \)
Subtract 225: \( 2x^2 + 12x - 189 = 0 \)
Divide by 2: \( x^2 + 6x - 94.5 = 0 \)
\( x = \frac{-6 \pm \sqrt{6^2 - 4(1)(-94.5)}}{2} = \frac{-6 \pm \sqrt{...
\( \sqrt{414} \approx 20.35 \), so \( x = \frac{-6 + 20.35}{2} \approx...
Shorter leg ≈ 7.18 cm (rounded to two decimals).
#### 7.18

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