Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
Show that $\vec{a} \times (\vec{b} \times \vec{a}) = (\vec{a} \times \vec{b}) \times \vec{a}$.
Vector AlgebraVector Triple ProductVector OperationsCross ProductDot Product
2025/6/17
The problem asks to find the area $S$ of a sector with radius $r = 4$ and arc length $l = 10$.
SectorAreaArc LengthGeometric Formulas
2025/6/17
The problem asks to identify the prism that can be formed from the given nets. We are given four dif...
PrismsNets3D ShapesCubesRectangular PrismsTriangular PrismsCylinders
2025/6/17
The problem asks to identify the prism formed by the given nets. The image shows four nets. The firs...
3D ShapesNetsPrismsCylindersCube
2025/6/17
We are given a triangle with one exterior angle of $130^\circ$ and one interior angle labeled as $x$...
TrianglesAnglesExterior AnglesInterior Angles
2025/6/17
We are given a triangle with two of its angles known. Angle A is $85^\circ$ and angle B is $68^\circ...
TrianglesAngle Sum PropertyLinear Equations
2025/6/17
We are given a circle with center O. CD is a tangent to the circle at point C. Angle CDB is given as...
CircleTangentAnglesAlternate Segment TheoremIsosceles Triangle
2025/6/17
The problem asks us to find the gradient of the line passing through each of the given pairs of poin...
Coordinate GeometrySlopeGradientLinear Equations
2025/6/17
We are given a pentagon with some information about its angles and sides. We need to find the size o...
PolygonsPentagonsAnglesIsosceles Triangle
2025/6/17
We are given a triangle with one exterior angle of $249^\circ$. Two of the interior angles of the tr...
TrianglesInterior AnglesExterior AnglesAngle Sum Property
2025/6/17