Geometry Questions from Nov 04,2024

Browse the Geometry Q&A Archive for Nov 04,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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(b) (i) Three positive numbers \( \{a, b, c\} \) are said to be a Pythagorean triple if they follow the relationship \( a^{2}+b^{2}=c^{2} \). Find \( b \) if \( \{20, b, 29\} \) is a Pythagorean triple. 5. A dog takes 4 leaps for every 5 leaps of a hare but 3 leaps of a dog are equal to 4 leaps of the hare. Compare their specds. \( \left. \begin{array} { c } { P = 2 \times \pi \times r } \\ { P = 2 \times 3.14 \times 4 } \\ { P = 25.12 cm } \\ { A = \pi \times r ^ { 2 } } \\ { A = 3.14 \times ( 8 cm ^ { 2 } } \\ { A = 3.14 \times 64 cm ^ { 2 } } \\ { A = 200.96 cm ^ { 2 } } \end{array} \right. \) 1. Ubica los puntos \( A(2,2), B(0,4), C(4,6), D(6,4), E(8,2) \) y \( F(5,3) \). a. Rota la figura formada en \( 62^{\circ} \) a la derecha b. La figura que rotaste, rotala \( 180^{\circ} \) a la izquierda. vi. Se tiene los ángulos consecutivos \( A O B, B O C \) y \( C O D \), tal que la \( m(A \hat{O} C)=m(B \hat{O} D)=90^{\circ} \), Calcule la medida del ángulo formado por las bisectrices de os ángulos \( A \widehat{O} B \) y \( C \hat{O D} \). viII. En la siguiente figura \( \overrightarrow{O B} \) es bisectriz de \( A \widehat{O C} \) y \( \overrightarrow{O D} \) es bisectriz de \( E \hat{O} C \). Si \( m(A \bar{O} C)=50, m(C O E)=80 \), halle: 1. Ubica los puntos \( \mathrm{A}(2,2), \mathrm{B}(0,4), \mathrm{C}(4,6), \mathrm{D}(6,4), \mathrm{E}(8,2) \) y \( \mathrm{F}(5,3) \). a. Rota la figura formada en \( 62^{\circ} \) a la derecha b. La figura que rotaste, rotala \( 180^{\circ} \) a la izquierda. 10 - (SMERJ) A figura representa un hexágono inscrito numa circunferéncia cujo ralo mede 8 cm . Considere \( \mathrm{LJ}-1,7 \), O perimetro e a área desse hexaigono medem, respectivamente: 4 Ngiyrosni edhe një katror tjetër për të marrë një figurë me 2 drejtëza simetrie. 6. Un edificio de 20 m de altura proyecta una sombra de 8 m en el mismo instante, un árbol proyecta una sombra de 1.5 m . ¿Cuál es la altura del árbol? Altura del árbol: Determine the coordinates of point \( P \) on \( \overline{A B} \) such that the ratio of \( A P \) to \( P B \) is \( 1: 3 \).
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