Question

Triangles are formed in a cube by connecting three vertices. A cube. The top face has points G, B, C, F, and the bottom face has points H, A, D, E. Which triangles are right triangles? Check all that apply.

A. △GHE

B. △HCD

C. △EFD

D. △ABC

Answer 1

Only △HCD is a right triangle, as it is formed by connecting one vertex from the top face to two adjacent vertices on the bottom face, creating a right angle at one of the vertices.

Step-by-step explanation:

To determine which triangles are right triangles in a cube, we need to identify triangles with one 90 degree angle. In a cube, right triangles can be formed by connecting one vertex from the top face to two adjacent vertices in the bottom face (or vice versa), thereby creating a triangle with the cube's edge as its hypotenuse and the sides of the cube as its legs.

Let's examine the provided options:

Therefore, out of the given options, only △HCD is a right triangle.