Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
We are given a diagram of a right triangle. The hypotenuse has length 6. The triangle is divided int...
Right TrianglesSimilar TrianglesPythagorean TheoremIsosceles TrianglesAltitudeGeometric Mean
2025/3/28
The problem asks us to find the length of side $x$ in the given right triangle, expressed in simples...
Pythagorean TheoremRight TrianglesIsosceles TrianglesRadicalsRationalization
2025/3/28
We are given a 30-60-90 triangle with the side opposite the 60 degree angle having length $\sqrt{6}$...
Triangles30-60-90 TriangleTrigonometrySide ratios
2025/3/28
The problem asks for the length of the shorter base of a trapezoid, given its area (77 square feet),...
TrapezoidAreaGeometric FormulasSolving Equations
2025/3/27
The problem asks to find the height of a parallelogram given its area and base. The area of the para...
ParallelogramAreaHeightGeometric FormulasArithmetic
2025/3/27
The area of a rhombus is 30 $cm^2$. One of the diagonals is 6 cm. We need to find the length of the ...
RhombusAreaDiagonalsGeometric Formulas
2025/3/27
We are asked to find the four inequalities that define the unshaded region R on the XOY plane. The r...
InequalitiesCoordinate GeometryLinear EquationsRegions in the Plane
2025/3/27
The problem asks us to find four inequalities that define the unshaded region $R$ in the $xy$-plane ...
InequalitiesCoordinate GeometryLinear InequalitiesRegions in the xy-plane
2025/3/27
The problem asks us to determine the four inequalities that define the unshaded region $R$ on the $X...
InequalitiesCoordinate GeometryLinear EquationsRegions
2025/3/27
We are asked to find four inequalities that define the unshaded region $R$ in the $XY$-plane. The re...
InequalitiesLinear InequalitiesCoordinate GeometryRegions in the Plane
2025/3/27