📐 geometry

1. **State the problem:** We have triangle UVW with angles at V and W given as $110^\circ$ and $2.3^\circ$ respectively, and side UV = 6. We need to find side $v = UW$. 2. **Find t

1. **State the problem:** Calculate the surface area of a triangular prism given the net with dimensions. 2. **Identify the shapes in the net:** The net includes:

1. **State the problem:** We need to find the surface area of a triangular prism given its net with dimensions. 2. **Identify the shapes in the net:** The net consists of:

1. **State the problem:** We are given the circumference of a circle as 11.304 inches and need to find the circle's diameter and radius. 2. **Formula used:** The circumference $C$

1. **State the problem:** Find the circumference and area of a circle with radius $r = 8.9$ cm. 2. **Formulas:**

1. **State the problem:** We need to find the length of the hypotenuse of a right triangle with legs measuring 6 ft and 8 ft. 2. **Formula used:** For a right triangle, the Pythago

1. **Problem statement:** Given a quadrilateral ABCD inscribed in circle O, BD is the perpendicular bisector of OC. On AD, point P is taken such that $OP=R$ (radius of circle O). L

1. **State the problem:** Find the surface area of the composite figure consisting of a rectangular prism and a triangular prism on top. 2. **Identify dimensions:**

1. **State the problem:** Find the surface area of a rectangular prism with length $15$ cm, height $7$ cm, and width $5$ cm. 2. **Formula:** The surface area $S$ of a rectangular p

1. **State the problem:** We need to find the length of the hypotenuse $x$ in a right triangle $MNO$ where the right angle is at $N$, the leg $NO$ is 7 units, and the angle at $O$

1. **State the problem:** We have a right triangle $\triangle KLM$ with $\angle M = 90^\circ$, sides $KM = 48$, $ML = 55$, and hypotenuse $LK = 73$. We want to find the ratio that

1. **Problem statement:** We have a trapezium with parallel sides of lengths $4p$ (top) and $3q$ (bottom), and a height of $6p$. The area is given as 750 square units. 2. **Formula

1. **State the problem:** We need to find the diameter of a circle given its radius. 2. **Formula:** The diameter $d$ of a circle is twice the radius $r$. This is expressed as:

1. **State the problem:** We need to find the diameter of a circle given its radius. 2. **Formula:** The diameter $d$ of a circle is twice the radius $r$. This is expressed as:

1. **State the problem:** Draw a circle with radius 7 cm. 2. **Recall:** A circle is all points equidistant from the center.

1. **State the problem:** We need to find the diameter of a circle given its radius. 2. **Formula:** The diameter $d$ of a circle is twice the radius $r$. This is expressed as:

1. **State the problem:** We have a right triangle with legs measuring 6 cm and 8 cm. We need to find the length of the hypotenuse. 2. **Formula used:** In a right triangle, the Py

1. **State the problem:** We have a right triangle with legs measuring 6 cm and 8 cm. We need to find the length of the hypotenuse. 2. **Formula used:** In a right triangle, the Py

1. Stating the problem: Draw a left triangle, i.e., a right triangle whose right angle is on the left side.\n2. Definition: A right triangle has one angle equal to $90^\circ$.\n3.

1. **Stating the problem:** We need to understand what right and left triangles are, explain their properties, and provide a drawing. 2. **Definition of a right triangle:** A right

1. **State the problem:** We have a piece of land with length 10 meters and width 5 meters. We want to find 90% of the total area of this land to be used for building a house. 2. *