📐 geometry

1. সমস্যা বর্ণনা: একটি সামান্তরিকের দুইটি বাহুর দৈর্ঘ্য যথাক্রমে 30 সে.মি. এবং 26 সে.মি. । তাদের মধ্যকার ক্ষুদ্রতম কোণ 28 ডিগ্রি। 2. আমরা জানতে চাই সামান্তরিকটির ক্ষেত্রফল।

1. সমস্যাটি হলো, একটি সামান্তরিকের বাহুর দৈর্ঘ্য ৩০ সেমি এবং ২৬ সেমি। ক্ষুদ্রতম কণ্টি ২৮ সেমি হলে অপর কণ্টির দৈর্ঘ্য নির্ণয় করতে হবে। 2. সামান্তরিকের বাহুর দৈর্ঘ্য: $a = 30$ সেমি,

1. **Problem statement:** We have a tent shaped as a triangular prism with base triangle sides 2.5 m, 2.5 m, and 1.5 m height, length of prism 6 m, and base of prism 4 m. We need t

1. Problem: Calculate the total calico material needed (surface area) and volume of a tent shaped like a triangular prism. 2. Given dimensions:

1. **Find the size of angle $\Theta$ to the nearest degree:** The problem gives two sides adjacent to $\Theta$ in a right triangle: opposite side length 21 cm and adjacent side len

1. **State the problem:** We have a tent shaped as a triangular prism with triangular faces of sides 2.5 m, 2.5 m, and 4 m. The height of the triangle is 1.5 m, and the length (dep

1. The problem asks us to find the total amount of calico material needed to make a tent shaped like a triangular prism, including its ground sheet, with the total surface area giv

1. **Stating the problem:** We have a triangle with side AB length 90 feet, angle A = 60°, angle B = 30°, and the right angle opposite side AB. We want to find the distance $i$ fee

1. **State the problem:** We are given a circle with center $O$ and triangle $ABC$ circumscribed about the circle such that $\angle A = 46^\circ$. We are asked to find the measure

1. **State the problem:** We are given a triangle with angles $\alpha = 45^\circ$, $\gamma = 73^\circ$, and side $b = 240$ cm opposite angle $\beta$. We need to find angle $\beta$

1. The problem is to find the measures of \( m \angle AEB \), \( m BC \), and \( m \angle AED \) based on the given circle with center E and arcs: AB = 90°, CD = 40°, DA = 108°, an

1. The problem asks for the distance between the points $(-3, -4)$ and $(2, 6)$. 2. We use the distance formula between two points $(x_1, y_1)$ and $(x_2, y_2)$:

1. We are asked to find the volume of a cylinder with height $h=2$ units and radius $r=3$ units. 2. The formula for the volume of a cylinder is $$V=\pi r^2 h$$ where $r$ is the rad

1. The problem states to find the volume of a cylinder with height $h=2$ units and radius $r=3$ units. 2. The formula for the volume of a cylinder is $$V = \pi r^2 h$$ where $r$ is

1. The problem is to find the volume of a cylinder with height $h=10$ units and radius $r=4$ units. 2. The formula for the volume of a cylinder is $$V=\pi r^{2}h$$ where $r$ is the

1. **Problem statement:** We have two circles with centers P (radius 6 cm) and Q (radius 5 cm), intersecting with common chord AB of length 8 cm. 2. **Find the length of PQ.**

1. The problem involves finding the angle $a$ at point $Q$ given some angles in the figure and using the variable $x$ at point $S$. 2. From the figure, angle at $P$ is given as 55°

1. The problem is to plot a series of Cartesian coordinate points and connect them with line segments sequentially to reveal a hidden animal shape. 2. The points are given as pairs

1. Бодлогыг ойлгох: ABC адил талт гурвалжин бөгөөд AC нь тойргийн диаметр, O нь төв. 2. AC диаметр гэдэг нь O цэг нь AC шугамын дунд цэг, тиймээс OA = OC.

1. The problem describes a kite-shaped quadrilateral with perpendicular diagonals. 2. The diagonals are divided into segments: one diagonal has segments 6 cm and 4 cm, so its total

1. The problem states we have a rhombus with diagonals intersecting at right angles. 2. The given diagonal lengths are 6 cm and 4 cm, but 3 cm seems ambiguous. We interpret diagona