Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
A fish shop has a vertical sign of height $|FH| = 3$ m. A cable is tied from the top of the sign, $F...
Pythagorean TheoremRight TrianglesWord ProblemDistance CalculationTrigonometry
2025/5/27
The problem asks us to find the length of the cable $GF$ given that the length of the sign $FH$ is 3...
Pythagorean TheoremRight TrianglesLength CalculationApproximation
2025/5/27
We are given a right triangle $GFH$ where $FH = 3$ m and $GH = 1.4$ m. We need to find the length of...
Pythagorean TheoremRight TriangleHypotenuseGeometrySquare RootRounding
2025/5/27
We are given a right triangle FHG, where FH represents the height of a sign and HG represents the ho...
Pythagorean TheoremRight TrianglesGeometryMeasurements
2025/5/27
The problem consists of two independent parts. Part I concerns a cube $ABCDEFGH$ with points $I$, $J...
3D GeometryVectorsPlanesLinesDistance CalculationRotationsSimilarities
2025/5/24
Determine and construct the set of points $M$ in the plane $P$ such that $||-2\vec{MA} + \vec{MB} + ...
VectorsBarycenterCircleGeometric Transformations
2025/5/23
A man travels 10 km west, 6 km north, and 2 km east. We need to find the distance between his final ...
Pythagorean TheoremDistanceVectorsCoordinate Geometry
2025/5/23
The problem asks to find the area of the given shape. The shape is a rectangle with a smaller rectan...
AreaRectangleSubtractionComposite Shapes
2025/5/23
The problem asks us to find the perimeter of the given shape. The shape is a rectangle with a cutout...
PerimeterRectanglesComposite ShapesMeasurements
2025/5/23
The problem requires finding the area of an L-shaped figure. The figure can be divided into two rect...
AreaComposite ShapesRectangles
2025/5/23