Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
The problem asks for the surface area of a pyramid with a square base, given its net. The net consis...
Surface AreaPyramidsSquare BaseTrianglesArea Calculation
2025/4/14
The problem asks us to identify which 3D solid (a cube, a pyramid, or a rectangular prism) each of t...
3D ShapesNetsSolid GeometryCubePyramidRectangular PrismTetrahedron
2025/4/14
A corridor of width $\sqrt{3}$ meters turns at a right angle, and its width becomes 1 meter. A line ...
TrigonometryGeometric ProblemAngle between linesOptimizationGeometric Proof
2025/4/14
We are given that $\angle Q$ is an acute angle with $\sin Q = 0.91$. We need to find the measure of ...
TrigonometryInverse Trigonometric FunctionsAnglesSineAcute AngleCalculator Usage
2025/4/14
The problem asks us to find the values of $s$ and $t$ in the given right triangle, using sine and co...
TrigonometryRight TrianglesSineCosineSolving Triangles
2025/4/14
We are given a right triangle with one angle of $54^{\circ}$ and the side opposite to the angle equa...
TrigonometryRight TrianglesTangent FunctionAngle CalculationSide Length CalculationApproximation
2025/4/14
The problem asks to find the tangent of the two acute angles, $M$ and $N$, in a given right triangle...
TrigonometryRight TrianglesTangentRatios
2025/4/14
The problem is to find the standard form of the equation of a circle given its general form: $x^2 + ...
CirclesEquation of a CircleCompleting the Square
2025/4/14
The problem is to identify the type of quadric surface represented by the equation $9x^2 + 25y^2 + 9...
Quadric SurfacesEllipsoids3D GeometryEquation of a Surface
2025/4/14
The problem asks us to analyze the equation $x^2 + y^2 - 8x + 4y + 13 = 0$. We need to determine wh...
CirclesCompleting the SquareEquation of a CircleCoordinate Geometry
2025/4/14