5. to get to the library from his house, robert biked 6 kilometers due east and then
8 kilometers due south. on the way back, he cut across a field, taking the shortest
possible route home.
how far did robert bike on the round-trip?
home
6 km
8 km
library

24 kilometers.

Step-by-step explanation:

The shortest path between two points is a straight segment that connects the two points.

Refer to the diagram attached. The 6-km segment and the 8-km segment are normal to each other. Together with the segment that joins the library and the house, the three segments now form a right triangle.

The length of the hypotenuse can be found with the Pythagorean Theorem.

.

The length of the round-trip will equal to the sum of the length of the three segments: .

a net is a diagram that shows a “flattened” view of a solid. in a net, each face and base is shown with all of its dimensions. a net can also serve as a pattern to build a three-dimensional solid.

a pyramid is a three-dimensional object with a base that is a polygon and triangular faces that meet at one vertex.

" the net of a triangular pyramid consists of four triangles. the base here we are given of the pyramid is a equilateral   triangle, and the lateral faces are also triangles "