Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
We are asked to find the area of a regular hexagon. We are given the apothem, which is the perpendic...
HexagonAreaApothemRegular PolygonTrigonometryApproximation
2025/4/7
The problem asks to find the area of a regular pentagon, given that the apothem (the distance from t...
PolygonsRegular PolygonsAreaTrigonometryApothemPentagon
2025/4/7
The problem asks to find the area of a right triangle on a flag. The flag has dimensions labeled, wi...
AreaTrianglesRight TrianglesGeometric ShapesMeasurements
2025/4/7
A right triangle is removed from a rectangle. We need to find the area of the shaded region. The rec...
AreaRectangleTriangleRight TriangleGeometric Shapes
2025/4/7
We are given that $\overrightarrow{PQ} \perp \overrightarrow{QR}$, which means that $\angle PQR$ is ...
AnglesRight AnglesAngle Addition PostulateSolving Linear Equations
2025/4/6
We are given that $\overline{HI} \cong \overline{TU}$ and $\overline{HJ} \cong \overline{TV}$. We ne...
GeometryCongruenceLine SegmentsProof
2025/4/6
We are given a diagram with parallel lines cut by a transversal. We need to find the values of $x$, ...
Parallel LinesTransversalsAnglesSupplementary AnglesAlternate Interior AnglesLinear Pair
2025/4/6
The image shows a heptagon (7-sided polygon) with two sides labeled as $40-10x$ and $6x+24$. We are ...
PolygonsHeptagonRegular PolygonAlgebraic EquationsSide Lengths
2025/4/6
We are given a right triangle with leg $a = 45$ yards and hypotenuse $c = 75$ yards. We need to find...
Pythagorean TheoremRight TrianglesGeometryMeasurement
2025/4/6
In a right triangle, $a$ and $b$ are the lengths of the legs, and $c$ is the length of the hypotenus...
Pythagorean TheoremRight TriangleTriangle GeometrySquare RootApproximation
2025/4/6