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Home Question Bank Math Geometry Archive 2025 January 17

Geometry Questions from Jan 17,2025

Browse the Geometry Q&A Archive for Jan 17,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Find the distance between the following pair of points: \( (2,10) \) and \( (-4,2) \). Formula: \( d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}} \) 08 O 10 06 A right triangle has a hypotenuse measuring 10 units and one of the legs measuring 6 units. Determine the length of the missing leg using the Pythagorean theorem. In a triangular plot of land, one side measures 40 meters and forms an angle of \( 45^{\circ} \) with the adjacent side, which is not known. Find the length of the adjacent side if it helps in determining the area needed for building. 200 276 In un triangolo \( A B C \), la bisettrice \( C D \) forma con \( A C \) un angolo tale che \( \cos A \widehat{C} D=\frac{4}{5} \). Sapendo che la lunghezza di \( A B \) è 102 cm e che \( \sin B \widehat{A} C=\frac{8}{17} \), calcola il perimetro del triangolo. [256 cm\( ] \) a. Draw a four-quadrant graph and label each axis. Plot the following ordered pairs: \( (-3,2),(-8,2),(-10,8) \), ( \( -5,8 \) ). Connect the points in the order given as you plot them, comnect the tourth point to the first one. b. Describe the shape on your graph. What is its area? A right triangle has a hypotenuse measuring 13 units and one leg measuring 5 units. Determine the length of the other leg. Um triângulo tem dois lados que medem 7 e 10, e o ângulo entre eles mede 45 graus. Use a Lei dos Cossenos para determinar o comprimento do lado oposto. Um triângulo tem dois lados que medem 7 e 10, e o ângulo entre eles mede 45 graus. Use a Lei dos Cossenos para determinar o comprimento do lado oposto. 2. Determina el perímetro del cuadrilátero (Expresa en forma decimal tus resultados redondeados a dos cifras decimales) \( P= \) u 3. Determina la longitud de la diagonal que tiene el cuadrilátero que une a los puntos B y D (Expresa en forma decimal tus resultados redondeados a dos cifras decimales) \( \overline{B D}= \) u 5. ( El valor del área del polígono que se forma al unirse los puntos \( A(-5,-2), B(-2,5) \), \( C(2,7), D(5,1) \) y \( E(2,-4) \) es: \( \begin{array}{llll}\text { A) } 33 & \text { B) } 132 & \text { C) } 66 & \text { D) } 10\end{array} \)
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