Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
The problem provides the lengths of two sides of a triangle and the angle opposite to one of the sid...
TrigonometryLaw of CosinesLaw of SinesTriangles
2025/5/14
We are given a triangle formed by a stove, a sink, and a refrigerator. The distance between the stov...
Law of SinesLaw of CosinesTrianglesAngle CalculationSide-Angle-Side
2025/5/14
The problem describes a kitchen design with an island. We are given the distance between the stove a...
TriangleAngleDistanceSketchDiagram
2025/5/14
The problem describes a kitchen design scenario. The distance between the stove and the sink is 1.3 ...
Law of CosinesTrigonometryDistance Calculation
2025/5/14
The problem asks to find the slope of a line passing through the points $(-2, -3)$ and $(-1, 6)$.
Coordinate GeometrySlopeLines
2025/5/14
The problem asks us to find the gradient (slope) of a line given two points on the line: $(12, 72)$ ...
Coordinate GeometrySlopeGradientLinear Equations
2025/5/14
We are given a circle with an external point from which two tangent lines are drawn. We are given th...
Circle GeometryTangentsArcsAngles
2025/5/13
We are asked to find the length of an arc that has a $90$ degree central angle in a circle with a ra...
Arc LengthCirclesRadiansDegree ConversionTrigonometry
2025/5/13
The problem asks to solve for $x$ given the expressions for the measures of the angles in a quadrila...
Cyclic QuadrilateralAnglesAlgebraSolving Equations
2025/5/13
Segments $PR$ and $PS$ are tangent to the circle. The measure of $\angle RPS = 66^{\circ}$. We need ...
GeometryCirclesTangentsQuadrilateralsAngles
2025/5/13