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Home Question Bank Math Geometry Archive 2025 January 01

Geometry Questions from Jan 01,2025

Browse the Geometry Q&A Archive for Jan 01,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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4. Define a right-angled isosceles triangle. Draw a rough sketch of ic. Name the hypotenuse 5 Classify the following triangles. (i) A triangle with lengths of sides \( 6 \mathrm{~cm}, 8 \mathrm{~cm} \) and 9 cm . (ii) A trangle with the three angles of measures \( 40^{\circ}, 55^{\circ} \) and \( 85^{\circ} \) (iii) A triangle with one side 6.5 cm and each of the other two sides 7 cm . (iv) \( \triangle X Y Z \) in which \( \overline{\mathrm{XY}}=\overline{\mathrm{YZ}}=\overline{\mathrm{ZX}} \) (i) \( \triangle \mathrm{ABC} \) in which \( \angle \mathrm{ABC} \) is a nght angle (vi) \( \triangle \) triangle in which one angle is \( 105^{\circ} \) A right triangle has a hypotenuse measuring 13 units and one leg measuring 5 units. Determine the length of the other leg. The area A of a square is directly proportional to the square of the length \( s \) of its sides a. Write a general model of the proportionality with \( k \) as the constant of proportion. b. If the length of the sides is doubled, what effect will that have on the area? c. If the length of the sides is tripled, what effect will that have on the area? La differenza degli angoli adiacenti al lato obliquo di un trapezio isoscele misura \( 15^{\circ} 14^{\prime} \). Calcola l'ampiezza degli angoli del trapezio. \( \left.\left[82^{\circ} 23^{\prime} ; 97^{\circ} 37^{\prime} ; 82^{\circ} 23^{\prime} ; 97^{\circ} 37\right]^{\prime}\right] \) Calcola il perimetro e l'area di una sala rettar Colare lunga \( 10,75 \mathrm{~m} \) e larga \( 8,20 \mathrm{~m} \). Calco il costo per il rifacimento della pavimentazi ne considerando un preventivo di \( 42 € / \mathrm{r} \) per i materiali e di \( 18,50 € / \mathrm{m}^{2} \) per la messa posa. [37,9 \( \mathrm{m} ; 88,15 \mathrm{~m}^{2} ; \approx 5333,08 \) Le dimensioni di una palestra misuran 122 dm e 85 dm . Per lucidare il pavimento legno sono chiesti \( 6 € / \mathrm{m}^{2} \). Calcola la misu del perimetro, l'area e il costo della lucidat ra. \( \quad\left[414 \mathrm{dm} ; 10370 \mathrm{dm}^{2} ; 622,20\right. \) 24. Check whether the points \( (7,-2),(5,1),(3,4) \) are collinear? 25. Find the centroid of the triangle whose vertices are \( (-5,-5),(1,-4) \) and \( (-4,-2) \) 26. Evaluate : \( \sin ^{2} 45+\cos ^{2} 45 \) Check whether the points \( (7,-2),(5,1),(3,4) \) are collinear? Find the centroid of the triangle whose vertices are \( (-5,-5),(1,-4) \) and \( (-4 \) Evalute \( \sin ^{2} 45+\cos ^{2} 45 \) 35 Fil du cyclone a. Trace un segment [CD] de longueur \( 3,5 \mathrm{~cm} \). b. Colorie en rouge tous les points situés à moins de \( 2,5 \mathrm{~cm} \) du point \( C \) et à plus de \( 2,5 \mathrm{~cm} \) du point \( D \). c. Colorie en vert tous les points situés à plus de \( 2,5 \mathrm{~cm} \) du point \( C \) et à moins de \( 2,5 \mathrm{~cm} \) du point \( D \). d. Où se situe le milieu de [CD] ? Pourquoi ? hat are they called? Name them and draw their diagonals, Name the vertices, sides and the diag isix-sided polygon is divided into triangles by drawing all the diagonals from a single vertex, ngles would be formed? Draw the figure name it and name the triangles.
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