Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
We are given a trapezium with height 12 cm and parallel sides $b$ cm and $4b$ cm. The area of the tr...
TrapeziumAreaAlgebraic EquationsGeometric Formulas
2025/4/21
Elna has eight rods, each approximately $10$ cm long. She uses these rods to form a rectangle that i...
PerimeterRectangleApproximationInequalities
2025/4/21
If the width and length of a rectangle are increased by 25%, by what percentage does the area increa...
AreaPercentage IncreaseRectangles
2025/4/21
The problem asks us to draw a triangle using a ruler and protractor based on the given information: ...
TriangleCosine RuleSide LengthAngleTrigonometry
2025/4/21
The problem requires us to draw an accurate triangle using a ruler and protractor based on the given...
Law of CosinesTrianglesTrigonometryQuadratic EquationsGeometry
2025/4/21
The problem asks for the steps to construct triangle $XYZ$ given that $XY = 10$ cm, $XZ = 7$ cm, and...
Triangle ConstructionGeometric ConstructionAnglesSide Lengths
2025/4/21
The problem requires us to construct a triangle accurately using a ruler and protractor, given the l...
TriangleLaw of CosinesTrigonometrySide lengthsAngleQuadratic Formula
2025/4/21
The problem asks us to draw a triangle with a base of 7 cm, and angles of 40 degrees and 20 degrees ...
TriangleAngleSide LengthMeasurementApproximationTrigonometry
2025/4/21
We need to construct triangle $ABC$ where $AB = 8$ cm, $\angle BAC = 40^\circ$, and $\angle ABC = 50...
TrianglesLaw of SinesTrigonometryAngle MeasurementSide Length Calculation
2025/4/21
The problem requires us to draw a triangle using a ruler and protractor, given one side (7 cm) and t...
TrianglesAngle Sum PropertySine RuleTrigonometryMeasurement
2025/4/21