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Home Question Bank Math Geometry Archive 2024 November 30

Geometry Questions from Nov 30,2024

Browse the Geometry Q&A Archive for Nov 30,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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and \( F \) is the midpoint of BH. Can you prove \( \triangle W E F \approx \) of \( \triangle Q H F \) ? Explain. Determine the remaining sides and angles of the triangle \( A B C \). \( A=26.61^{\circ} \quad B=34.51^{\circ} \quad C=14.46 \mathrm{~m} \) \( C=\square^{\circ} \) Buktikan bahwa pada \( \triangle A B C \), jika berlaku \( a \cos ^{2} B+b \sin A \sin B=c \cos A+a \cos C \) maka \( \triangle A B C \) merupakan segitiga sama kaki. (ii) Given that \( F, E \) and \( D \) are collinear, find the value of \( k \). part of a line that has one endpoint and extends forever in ne direction Calcula el perímetro de los siguientes triángulos y clasificalos según la longitud de sus lados. a. \( A(-2,2), B(1,6), C(6,-6) \) b. \( A(-5,-2), B(0,6), C(5,-2) \) \( \begin{array}{cl}\text { a. } 317 \mathrm{sq} \mathrm{cm} & \text { b. } 356 \mathrm{sq} \mathrm{cm} \quad \text { c. } 456 \mathrm{sq} \mathrm{cm} \quad \text { d. } 485 \mathrm{sq} \mathrm{cm} \\ \text { A semi-circle of radius } 14 \mathrm{~cm} \text { is formed from a piece of wire. If it is bent into a rectangle } \\ \text { whose length is } 1 \mathrm{~cm} \text { more than its width, find the area of the rectangle. } \\ \begin{array}{llll}\text { a. } 256.25 \mathrm{~cm}^{2} & \text { b. } 323.57 \mathrm{~cm}^{2} & \text { c. } 386.54 \mathrm{~cm}^{2} & \text { d. } 452.24 \mathrm{~cm}^{2}\end{array} \\ \text { A sphere of radius } \mathrm{r} \text { just fits into a cylindrical container of radius } \mathrm{r} \text { and altitude } 2 \mathrm{r} \text {. Find }\end{array} \) A quadrilateral \( A B C D \) is inscribed in a semi-circle with side \( A D \) coinciding with the diameter of the circle. If sides \( A B, B C \) and \( C D \) are \( 8 \mathrm{~cm}, 10 \mathrm{~cm} \) and 12 cm long respectively, find the area of the circle. \( \begin{array}{lll}\text { a. } 317 \mathrm{sq} \mathrm{cm} & \text { b. } 356 \mathrm{sq} \mathrm{cm} & \text { c. } 456 \mathrm{sq} \mathrm{cm}\end{array} \quad \) d. 485 sq cm 13. A sector of radius 6 cm and central angle of \( 60^{\circ} \) is bent to form a cone. Find the volume of the cone. \( \begin{array}{llll}\text { a. } \pi \sqrt{35} / 3 & \text { b. } \pi \sqrt{35} & \text { c. } 35 \pi / \sqrt{3} & \text { d. } 35 \pi / 3\end{array} \) 9. The sides of a triangle are \( 14 \mathrm{~cm}, 15 \mathrm{~cm} \), and 13 cm . Find the area of the circumscribing circle. \( \begin{array}{llll}\text { a. } 207.4 \mathrm{~cm}^{2} & \text { b. } 209.6 \mathrm{~cm}^{2} & \text { c. } 215.4 \mathrm{~cm}^{2} & \text { d. } 220.5 \mathrm{~cm}^{2}\end{array} \)
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