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Home » Multiply numerator and denominator by $\sqrt3 + 1$: - ToelettAPP

Multiply numerator and denominator by $\sqrt3 + 1$: - ToelettAPP

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 \cos 180^\circ = -1, \quad \sin 270^\circ = -1

📌 Adding these together:

📌 \cos 180^\circ + \sin 270^\circ = -1 + (-1) = -2

📌 \boxed{-2}

📌 Question: A right triangle has a hypotenuse of length $t$, and the radius of the inscribed circle is $r$. What is the ratio of the area of the circle to the area of the triangle?

📌 Solution: The area $A_{\text{circle}}$ of the inscribed circle is:

📌 The area $A_{\text{triangle}}$ of a right triangle with legs $a$ and $b$ and hypotenuse $t$ is:

📌 A_{\text{triangle}} = \frac{1}{2}ab

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