Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
A 39-foot ladder is placed against a building. The bottom of the ladder is 33 feet away from the bas...
Pythagorean TheoremRight TrianglesWord ProblemApplications of Geometry
2025/3/12
Given two vectors $u = i + 3j + k$ and $v = 4i + 7j$, the problem is not clearly stated. I will assu...
VectorsCross ProductLinear Algebra3D Geometry
2025/3/12
The problem states that the diameter of a circle is 6 yards. We are asked to find the ratio of the a...
CircleAreaRatioRadiusDiameter
2025/3/11
We are given two problems involving triangles. Problem 1: In triangle $ABC$, we are given angle $C =...
TrianglesLaw of SinesTrigonometry
2025/3/11
We are given two triangle problems. 1) In triangle $ABC$, $C = 96.2^\circ$, $b = 11.2$ cm, and $c = ...
TrianglesLaw of SinesTrigonometryTriangle Solving
2025/3/11
The problem involves a triangle ABC, where angle A is $115^{\circ}$, side a (opposite to angle A) is...
TrigonometrySine RuleTrianglesAngle Calculation
2025/3/11
The problem asks for the measure of the inscribed angle ACB in a circle, given that angle ACB $= (7x...
Inscribed AngleCircleAngle MeasurementAlgebraLinear Equations
2025/3/11
We are given a circle with diameter $AD$. The measure of arc $AC$ is $132^\circ$. We need to find th...
CircleArcAngleDiameterIsosceles TriangleCentral Angle
2025/3/11
We are given a circle with center O and chord PT. We are given that $m(\angle PBT) = 70^\circ$. We n...
CirclesAnglesTrianglesInscribed AnglesCentral AnglesArcsGeometry
2025/3/11
The problem asks to translate the given line segment by the given vectors in parts a and b. Part a: ...
VectorsTransformationsTranslationCoordinate GeometryLine Segment
2025/3/11