Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
The problem statement is problem 15. Given a triangle ABC, locate points I, J, and K such that $\vec...
Vector GeometryCollinearityTriangle Geometry
2025/3/9
The problem asks for the length of the non-base edges of a right pyramid with a square base of side ...
Pyramids3D GeometryPythagorean Theorem
2025/3/9
Vicente has a fishing rod of 3.25 meters long. He wants to fit it into an elevator that is 1.5 meter...
3D GeometrySpace DiagonalRectangular PrismPythagorean Theorem
2025/3/9
A ladder of 14.5 meters long is leaning against the facade of a building. The base of the ladder is ...
Pythagorean TheoremRight TrianglesWord Problem
2025/3/9
We are given a shape that is almost a rectangle, but with a slanted side. The lengths of three sides...
Pythagorean TheoremRight TrianglesRectangleGeometric Shapes
2025/3/9
The problem asks whether the equation $n^2 = m^2 + o^2$ holds for the given right triangle with side...
Pythagorean TheoremRight Triangle
2025/3/9
The problem asks whether the equation $n^2 = m^2 + o^2$ satisfies the Pythagorean theorem for the gi...
Pythagorean TheoremRight Triangles
2025/3/9
The problem asks to find the height $h$ of an equilateral triangle, given that the base of the trian...
Equilateral TrianglePythagorean TheoremHeightSquare Root
2025/3/9
The problem asks us to find the length of the diagonal of a square whose side length is 6. The diago...
SquareDiagonalPythagorean Theorem
2025/3/9
The problem asks us to find the length of the hypotenuse of a right triangle with legs of length 9 a...
Pythagorean TheoremRight TriangleHypotenuse
2025/3/9