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Home » Thus, the maximum area is \(\boxed625\) square meters. - Abbey Badges

Thus, the maximum area is \(\boxed625\) square meters. - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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V_{\text{total}} = V_{\text{hemisphere}} + V_{\text{cyl}} = \frac{2}{3...
Thus, the total volume is $ \boxed{\frac{8}{3} \pi r^3} $.
Question: A right triangle has legs of lengths $ 5 $ and $ 12 $. What...
Solution: The area of the triangle is:
A = \frac{1}{2} \cdot 5 \cdot 12 = 30
The hypotenuse is:
c = \sqrt{5^2 + 12^2} = \sqrt{25 + 144} = \sqrt{169} = 13
Altitude to leg 5: $ h_5 = \frac{2A}{5} = \frac{60}{5} = 12 $
Altitude to leg 12: $ h_{12} = \frac{2A}{12} = \frac{60}{12} = 5 $
Altitude to hypotenuse 13: $ h_{13} = \frac{2A}{13} = \frac{60}{13} \a...

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