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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(ii) length of the diagonal up to 2 decimal places. 7. Find the aren of a rhombus ABCD in which cach side measures 30 cm and one of its dingonal is 48 cm . 8. An iron sheet is rhombus in shape. The measure of its side is 15 cm and one of its diagonal in 1): If the axes turning be angle \( \frac{\pi}{4} \); find the new form of the equation \( \left.\qquad 5 x^{2}+2 x y+5 y^{2}=2\right) \quad x=\left(\cos \frac{\pi}{4}-\right. \) 48 cm . 8. An iron sheet is rhombus in shape. The measure of its side is 15 cm and one of its diagonal is 24 cm . Find the cost of painting its both side at the rate of 3 per \( \mathrm{cm}^{2} \). 9. The perimeter of a trapezium is 60 cm . Its non-parallel sides are 12 cm each and its altitude is. Câu 42: Khắng định nào sau đây là sai: a) Trong tam giác đều ba góc bằng nhau. b) Hình lục giác đều có ba đường chéo chính bằng nhau. c) Hình thoi có hai đường chéo vuông góc với nhau. d) Hình thang cân có hai góc kề cạnh bên bằng nhau. b. Ett golv täcks över med en korkmatta, som skärs från en 80 cm bred rulle. Hur många meter korkmatta behövs om golvet är \( 3,2 \mathrm{~m} \) brett och \( 4,8 \mathrm{~m} \) långt? a. \( \left(-1 ; \frac{1}{2}\right) ; \quad \) b. \( (2 ;-4) ; \quad \) o. \( (3 ; 9) \), Scrivi le equazioni delle rette passanti per il punto \( P(2 ;-6) \) parallele abli asol cartesianie di quella pasante per \( P \) e per l'origine. Determina quali punti della bisettrice del primo e terzo quadrante hanno distanza dal punto \( A(4 ;-1) \) uguale a \( \sqrt{13} \). \( [(1 ; 1) ;(2 ; 2)] \) Retto nel piano cartesiano Determina per ciascuna delle rette di equazioni \( x-4 y+7=0,2 x+6 y-7=0 \) e \( \quad 2 y-x-4=0 \) il relativo punto di ordinata \( -\frac{1}{2} \). 8. In a triangle \( \mathrm{ABC}, \mathrm{AB}=7.2 \mathrm{~cm}, A \mathrm{C}=6 . \mathrm{B} \mathrm{cm} \) and angle \( \mathrm{BAC}=120^{\circ} \). Calculate; (a) The length of BC to \( 3 \mathrm{~s} . \mathrm{f} \) ( mark) (b) If a circle passes through the vertices \( \mathrm{A}, \mathrm{B} \) and C. Find the radius of ( 2 marks) स.च. ABCD का विकर्णहरू बिन्दु P मा काटिएका छन् घने भेक्टर विधिद्वारा प्रमाणित गर्नुहोस् : ABCD is a parallelogram. P is the intersecting point of diagonals, then prove by vector method: \( \overrightarrow{\mathrm{OP}}=\frac{\overrightarrow{\mathrm{OA}}+\overrightarrow{\mathrm{OB}}+\overrightarrow{\mathrm{OC}}+\overrightarrow{\mathrm{OD}}}{4} \)
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