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Home Question Bank Math Geometry Archive 2024 December 28

Geometry Questions from Dec 28,2024

Browse the Geometry Q&A Archive for Dec 28,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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A right triangle has one angle measuring 45 degrees. If the length of one leg is 7 units, calculate the length of the other leg. Calcular el volumen de un cilindro dado si se corta a través de su dirección vertical, formando cross sections semicirculares con un diámetro de 6 unidades. 0) A circle with diameter of length 20 cm ., passes through the vertices of \( \triangle A B C \) which is an acute-angled triangle in which \( B C=10 \mathrm{~cm} \)., then \( \mathrm{m}(\angle A)=\ldots \ldots \ldots \ldots \) \( \begin{array}{llll}\text { (a) } 30 & \text { (b) } 60 & \text { (c) } 45 & \text { (d) } 150\end{array} \) Soit MNP un triangle tels que : \( \mathrm{MN}=6 \mathrm{~cm} ; \mathrm{NP}=4 \mathrm{~cm} \) et \( \mathrm{MP}=7 \mathrm{~cm} \). Construire les médianes de ce triangle What is a circle? Qual é a definição de um círculo? \( \begin{aligned} \text { B.ea } & =l \times b \\ & =8 \times 3 \\ & =24 \mathrm{~cm}\end{aligned} \) A cone has a base radius of 4 cm and a height of 9 cm. Calculate its volume. elect all of the options which are true of the perpendicular bisector of line AB Exercice 2 Soit \( A B C \) in triangle. Soit D et E les points vérifiant : \( \overrightarrow{A D}=\frac{2}{3} \overrightarrow{A B} \) et \( \overrightarrow{A E}=\frac{2}{5} \overrightarrow{A C} \). F est le point d'intersection de \( (A B) \) avec la parallèle à \( (B C) \) passant par E. G est le point d'intersection des droites \( (B C) \) et (ED). 1. Exprimer \( \overrightarrow{A F} \) en fonction de \( \overrightarrow{A B} \). 2. Exprimer \( \overrightarrow{D B} \) en fonction de \( \overrightarrow{A B} \), puis \( \overrightarrow{D F} \) en fonction de \( \overrightarrow{A B} \). 3. En déduire \( \overrightarrow{D F} \) en fonction de \( \overrightarrow{D B} \). 4. Exprimer en fonction de \( \overrightarrow{A B} \) et de \( \overrightarrow{A C} \) les vec- teurs \( \overrightarrow{D E}, \overrightarrow{D C} \).
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