Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
The problem asks to measure and record the angles formed at each intersection (points A, B, and C) o...
TrianglesLaw of CosinesAnglesSide lengthsTrigonometry
2025/3/12
The problem asks us to plot three points A, B, and C on a coordinate plane such that they are not co...
Coordinate GeometryLinesTrianglesGeometric Figures
2025/3/12
Given a triangle $ABC$, $M$ is the midpoint of segment $AB$, and $I$ is the midpoint of segment $MC$...
Vector GeometryCollinearityTrianglesVectors
2025/3/12
We are given a triangle with angles $A$, $B$, and $C$, and side lengths $a$, $b$, and $c$. We are gi...
TriangleLaw of SinesTrigonometryAngle CalculationSide Length Calculation
2025/3/12
The problem asks to estimate the length of side $KL$ in the given diagram.
Distance FormulaCoordinate GeometryEstimationPythagorean Theorem
2025/3/12
The problem asks to determine if a triangle with sides 71, 52, and 40 is right, acute, or obtuse, us...
TrianglePythagorean TheoremTriangle ClassificationObtuse Triangle
2025/3/12
The problem states that the sides of a triangle are 52, 42, and 27. We need to use a modified Pythag...
TrianglesPythagorean TheoremTriangle ClassificationObtuse TriangleSide Lengths
2025/3/12
The problem states that a right triangle has a hypotenuse of 8 cm and one leg of 4 cm. We need to fi...
Pythagorean TheoremRight TrianglesSquare RootsApproximation
2025/3/12
We are given a rectangular box with dimensions 10 inches by 4 inches by 4 inches. A straw fits exact...
3D GeometryPythagorean TheoremVolumeRectangular BoxSimplifying Radicals
2025/3/12
ABCD is a kite. $AC$ is perpendicular to $DB$, and $DE = EB$. We are given $AE = 10$ cm, $BE = 8$ cm...
KitePythagorean TheoremTriangleRight TriangleGeometric Properties
2025/3/12