Question

Which describes the cross section of a square prism that passes through vertices A, B, and C?

Answer 1

Answer:

In triangle ABC one side equal $8\sqrt{2}$ and two sides equal $4\sqrt{13}$

Step-by-step explanation:

We are given a prism whose base is square with sides 8 in and height 12 in.

If we take cross section through vertices A, B and C

We will get a cross section as triangle.

In triangle ABC, sides are AB, BC and AC

AB is diagonal of top square whose side 8 in.

$AB=\sqrt{8^2+8^2}=8\sqrt{2}$

AC is face diagonal of front face.

$AC=\sqrt{8^2+12^2}=4\sqrt{13}$

BC is face diagonal of right face.

$BC=\sqrt{8^2+12^2}=4\sqrt{13}$

AC=BC≠AB

Hence, In triangle ABC one side equal $8\sqrt{2}$ and two side equal $4\sqrt{13}$

Answer 2

Answer:

A) A recangle that is not a square

Step-by-step explanation: