📐 geometry

1. ප්‍රශ්නය: පතක් රූපයේ BÂD = CÂE වේ. (අ) i. BÂC = DÂE බව පෙන්නන්න.

1. Problem: Find the missing side length $x$ for each shape given the perimeter. (a) Rectangle with sides 8 cm and 5 cm, perimeter = 26 cm.

1. The problem states that the perimeter of a regular pentagon is 2 meters. 2. A regular pentagon has 5 equal sides.

1. **State the problem:** We need to find the area of the garden, which is a rectangle with dimensions 15 m by 10 m. 2. **Identify the shape and dimensions:** The garden is a recta

1. The problem asks us to apply Euler's Formula to determine if an octahedron is a polyhedron. 2. Euler's Formula for polyhedra states: $$V - E + F = 2$$ where $V$ is the number of

1. The problem asks for the area of the shaded face of a cylinder, which is the top circular face. 2. The diameter of the circle is given as 26 mm, so the radius $r$ is half of tha

1. The problem asks to explain what a perpendicular line segment in a rhombus is, including its shape and examples. 2. A rhombus is a quadrilateral with all sides equal in length.

1. The problem asks about the perpendicular line segment in a rhombus. 2. A rhombus is a quadrilateral with all sides equal in length.

1. The problem asks to study the given diagram and answer the question using correct mathematical symbols and notations, providing reasons for each statement. 2. Since the diagram

1. **Find all other angles inside the rectangles.** (i) Rectangle ABCD with diagonal AC and angle at A = 30°.

1. **Problem statement:** Given that points D, N, and P are collinear forming a straight line DNP, and triangle MNP with angles labeled $x$, $y$, and $z$, and angle at $P$ is $56^\

1. **State the problem:** We are given a right circular cone with slant height $l = 25$ cm and total surface area $A = 224\pi$ cm$^2$. We need to find the radius $r$ of the base of

1. **State the problem:** We are given a triangle ABC with side lengths $AB=6$ cm, $AC=8$ cm, and $BC=10$ cm. We need to determine if triangle ABC is a right triangle. 2. **Recall

1. The problem is to draw a rectangle on the graph with vertices at the points (3,2), (1,2), (1,5), and (3,5). 2. These points represent the corners of a rectangle because:

1. **State the problem:** We need to find the perimeter of a right triangle with sides 8 cm (height), 2 cm and 15 cm segments on the base, where the right angle is between the 8 cm

1. \textbf{Đề bài:} Cho hình bình hành ABCD, phân giác góc A và D cắt nhau tại M, phân giác góc B và C cắt nhau tại N. Chứng minh MN \parallel AB. 2. \textbf{Phân tích:} Trong hình

1. **Problem statement:** We have a large equilateral triangle $ABC$ and a smaller inverted equilateral triangle $DEF$ inside it. Points $D$, $E$, and $F$ lie on sides $AB$, $BC$,

1. **State the problem:** A stick of length $l$ units is broken into three pieces. We want to prove that the probability these pieces form a triangle is $\frac{1}{4}$. 2. **Triangl

1. **State the problem:** A square is cut into two identical rectangles. Each rectangle has a perimeter of 24 cm. We need to find the area of the original square. 2. **Define varia

1. **Exercice 1 : Compléter par \(\in\) ou \(\notin\)** - \(C \in (AI)\) car point C est sur le segment ouvert entre A et I.

1. **Stating the problem:** We have a right triangle ABC with right angle at A. AB = 12, CD = 1, and a semicircle with diameter AD is inscribed inside the triangle, tangent to hypo