Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
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
We are given a right triangle with legs $a$ and $b$, and hypotenuse $c$. We are given that $a = 2.9$...
Pythagorean TheoremRight TrianglesGeometryTriangle PropertiesAlgebra
2025/4/6
In a right triangle, $a$ and $b$ are the lengths of the legs and $c$ is the length of the hypotenuse...
Pythagorean TheoremRight TriangleGeometryMeasurement
2025/4/6
The problem states that we have a right triangle with legs of length $a$ and $b$, and a hypotenuse o...
Pythagorean TheoremRight TriangleTriangle GeometryApproximationMeasurement
2025/4/6