📐 geometry

1. **Problem 12:** For a 200" diagonal image with a display resolution of 1024 x 768 pixels, find the screen coordinates of points located on the LCD screen. 2. **Step 1:** Underst

1. সমস্যাটি হলো: একটি কোণকে ডিগ্রি (D°) এবং রেডিয়ান (R) পদ্ধতিতে প্রকাশ করা হলে, প্রমাণ করতে হবে যে $$\frac{D}{180} = \frac{R}{\pi}$$। 2. কোণ পরিমাপের মূল সূত্র হলো: ১ পূর্ণ বৃত্ত

1. **Problem 4: Find the area of the L-shaped polygon with external dimensions 8 cm by 12 cm and an internal cut of 4 cm by 4 cm.** 2. The formula for the area of a rectangle is $\

1. **Problem Statement:** We have 6 LEDs placed evenly around a circle of radius 100 inches centered at the origin (0,0). The LEDs are at angles 0°, 60°, 120°, 180°, 240°, and 300°

1. **State the problem:** Calculate the surface area of a square pyramid with base side length $6$ cm and slant height $7$ cm. 2. **Formula used:** The total surface area $A$ of a

1. **State the problem:** Find the area of a parallelogram with base length $2.6$ inches and height $2$ inches. 2. **Formula:** The area $A$ of a parallelogram is given by the form

1. **State the problem:** Find the area of a parallelogram with base $6$ cm and height $4$ cm. 2. **Formula:** The area $A$ of a parallelogram is given by:

1. **State the problem:** We have two triangles ABC and CDE sharing point C, with points A, C, D collinear and points B, C, E collinear. Given lengths AC = 24 cm, BC = 31 cm, CE =

1. Stating the problem: We need to find the formulas for surface area and volume for each of the six given shapes composed of cylinders and cones with given height and radius param

1. **Problem statement:** Given a right triangle XYZ with right angle at Y, altitude YW to hypotenuse XZ, and segments XW = r, WZ = s, find the altitude $h$. 2. **Formula used:** I

1. **Problem statement:** - Question 6: In triangle KLM, KM = 6 cm and angle KLM = 30°. Find the length of KL.

1. **Problem Statement:** Construct a triangle \(\triangle ABC\) such that \(AB = 6\) cm, \(BC = 4\) cm, and \(CA = 5.5\) cm. 2. **Formula and Rules:** To construct a triangle give

1. **Problem statement:** Given two adjacent angles on a straight line, where the left angle is $4d^\circ + 16^\circ$ and the right angle is $2d^\circ + 14^\circ$, find the value o

1. **Problem Statement:** We need to find the area of quadrilateral GHEN given $HG = 30\sqrt{2}$ and $EG = 70$.

1. **Problem Statement:** We have a square ABCD with diagonals AC and BD intersecting at N. Points E, F, and G lie on sides AD, AC, and CD respectively such that DEFG is a rectangl

1. Bài toán yêu cầu tính diện tích hình chữ nhật ABCD biết rằng $AI=\frac{2}{5}AB$ và diện tích tam giác BIOC là 279 cm$^2$. 2. Ta biết rằng trong hình chữ nhật, các đường chéo cắt

1. **State the problem:** We need to find the area of the shaded part, which consists of two identical parallelograms joined along their longer base inside a rectangle. 2. **Identi

1. **State the problem:** The angles in a triangle are in the ratio 3 : 1 : 2. We need to find the size of each angle. 2. **Recall the rule:** The sum of the angles in any triangle

1. The problem states that the square's jugfol is 630. We need to clarify what "jugfol" means, but assuming it refers to the area of the square. 2. The formula for the area of a sq

1. **State the problem:** We have a rectangle where the length is 7 cm longer than the width.

1. The problem involves several geometric constructions: drawing lines, dividing them proportionally, constructing angles by bisection, and constructing triangles with inscribed an