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Home Question Bank Math Geometry Archive 2024 December 14

Geometry Questions from Dec 14,2024

Browse the Geometry Q&A Archive for Dec 14,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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¿Cuál es la relación entre los ángulos internos de un cuadrilátero cíclico y el semiángulo opuesto? (22) In the opposite figure : \( \mathrm{m}(\angle \mathrm{BAD})=\mathrm{m}(\angle \mathrm{C}) \) , then \( \mathrm{BD}=\ldots \) \( \begin{array}{ll}\text { (a) } 3 & \text { (b) } 5 \\ \text { (c) } 4 & \text { (d) } 6\end{array} \) Find the weighted Euclidean distance between the given vectors. \( \mathbf{u}=\left[\begin{array}{c}4 \\ -2\end{array}\right], \mathbf{v}=\left[\begin{array}{l}-6 \\ -7\end{array}\right] \) with weights \( \mathbf{w}=\left[\begin{array}{l}2 \\ 1\end{array}\right] \) \( d(\mathbf{u}, \mathbf{v})= \) Ex: \( 1 \hat{\imath} \) Find the Euclidean distance between the given vectors. \( \mathbf{m}=\left[\begin{array}{c}-1 \\ 2\end{array}\right], \mathbf{n}=\left[\begin{array}{c}-17 \\ -28\end{array}\right] \) \( d(\mathbf{m}, \mathbf{n})=\mathrm{Ex}:_{:} 1 \hat{\mathrm{t}} \) Find the Euclidean norm of the given vector. \( \mathbf{v}=\left[\begin{array}{c}9 \\ 12\end{array}\right] \quad \) Hint: \( 9^{2}=81,12^{2}=144 \) \( \|\mathbf{v}\|= \) Ex: 1 Halla el punto medio del segmento que se forma por las coordenadas \( (-7,1) \) y \( (-4,-17) \) A) \( (-8,-5.5) \) (18) The perimeter of \( \triangle A B C \) is \( 70 \mathrm{~cm}, a=26 \mathrm{~cm}, \quad m(\angle \Lambda)=60^{\circ} \) , then its area \( =\cdots \) \( \begin{array}{llll}\text { (a) } 100 & \mathrm{~cm}^{2}\end{array} \) роздил з 659. Діагонапь прямокутника дорівнюе 13 см, а одна з його сторін -12 см. Знайдіть другу сторону прямокутныса. 657. Дві менші сторони прямокутного трикутника дорівню- ють 2 cm і 3 cm . Знайдіть його найбільшу сторону. A circle's area is given as \( 78.54 \) square centimeters. What is the radius of the circle?
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