Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
The problem asks us to find the size of the reflex angle $BCD$ in the given diagram. The diagram sho...
AnglesTrianglesAngle Sum PropertyReflex Angle
2025/6/3
We need to find the size of the reflex angle $BCD$ in the given figure. We have a triangle $ABD$ wit...
AnglesTrianglesReflex AngleAngle Calculation
2025/6/3
The problem asks us to find the size of angle $a$ in a quadrilateral, given the measures of the othe...
QuadrilateralsAnglesGeometric Shapes
2025/6/3
We are asked to find the size of angle $BAC$ in the given triangle. The triangle has angle $ABC = 40...
TrianglesAngle PropertiesExterior AnglesAngle Sum Property
2025/6/3
We are given a diagram with some angles labeled. We are given that $\angle STQ = m$, $\angle TUQ = 8...
AnglesTrianglesExterior Angle TheoremStraight Lines
2025/6/3
We are given a diagram with $PT \parallel SU$ and $QS \parallel TR$. We are also given that $SR = 6$...
AreaTrapeziumTriangleParallel LinesGeometric Shapes
2025/6/3
The angle of depression from the top of a building to a point P on the ground is $23.6^{\circ}$. The...
TrigonometryAngle of DepressionRight TrianglesTangent FunctionWord Problem
2025/6/3
In the given diagram, we have the following angle measures: $\angle STQ = m$, $\angle TUQ = 80^\circ...
AnglesTrianglesSupplementary Angles
2025/6/3
The problem asks us to find the unit vectors perpendicular to the plane determined by the three poin...
Vectors3D GeometryCross ProductUnit VectorsPlanes
2025/6/2
Find all vectors that are perpendicular to both vectors $\vec{a} = \hat{i} + 2\hat{j} + 3\hat{k}$ an...
VectorsCross Product3D GeometryLinear Algebra
2025/6/2