Geometry

Problems related to shapes, spaces, measurements, etc.

Problems in this category

We are given a diagram with two lines. The first line is labeled as $P$ on the left and has an arrow...

Parallel LinesTransversalAnglesTriangle PropertiesExterior Angle Theorem
2025/7/16

The problem involves two parallel lines and a transversal that forms two triangles. We need to deter...

Parallel LinesTransversalAnglesTriangle PropertiesAlternate Interior AnglesAngle Sum of a Triangle
2025/7/16

Based on the provided image, the lines PQ and RS are parallel. We are given three angles: $x$ at poi...

Parallel LinesAnglesGeometric Proof
2025/7/16

Given that line segment PQ is parallel to line segment RS, and the measures of angle PQR is $x$ and ...

Parallel LinesAnglesTransversalSupplementary Angles
2025/7/16

The problem states that the area of the triangle is $35 cm^2$. We need to find the value of $y$.

AreaTriangleAlgebraic Equations
2025/7/16

The problem asks to find the value of $p$ in the given triangle where the exterior angles are $3p$, ...

TrianglesExterior AnglesAngle SumAlgebraic Manipulation
2025/7/16

We are asked to find the height of a rectangular-based pyramid given that its volume is $60 \text{ c...

PyramidsVolumeGeometric Formulas3D Geometry
2025/7/15

The problem is to calculate the area of the triangles labeled f, g, h, i, j, k, and l in the image.

AreaTrianglesRight TrianglesGeometric Calculations
2025/7/15

We are asked to calculate the area of five triangles labeled a, b, c, d, and e. All dimensions are i...

AreaTrianglesGeometric Formulas
2025/7/15

The problem asks to calculate the size of the missing angle $p$ in a full circle, given that one ang...

AnglesCirclesDegree Measurement
2025/7/15