Question

Select the correct answer. a coordinate plane showing the shape of hang glider with the tip having coordinates as (12,7). on the right, a small vertical line from the end of the glider (24,2) joins the horizontal axis and is labelled x. this coordinate plane shows the shape of a hang glider. the perimeter of the glider is to be trimmed with a special material. what is the minimum length of material needed? a. 54 feet b. 58 feet c. 64 feet d. 78 feet

Answer 1

Based on the perimeter of the glider, the minimum length of material that is needed is: a. 54 feet.

In Mathematics and Geometry, Pythagorean theorem is an Euclidean postulate that can be modeled or represented by the following mathematical equation:

`c^2=a^2+b^2`

Where:

• a is the opposite side of a right-angled triangle.
• b is the adjacent side of a right-angled triangle.
• c is the hypotenuse of a right-angled triangle.

By applying Pythagorean's theorem to the hang-glider, the length of sloping sides can be determined as follows;

`c^2=a^2+b^2\\\\c^2=12^2+5^2\\\\c^2=144+25\\\\c=√(169)`

c = 13 feet.

For perimeter of the hang-glider, we would add all of the sides together as follows;

Perimeter of hang-glider = 13 + 13 + 24 + 2 + 2

Perimeter of hang-glider = 54 feet.

In this context, the minimum length of material that is needed is 54 feet.

Complete Question;

Select the correct answer.

This coordinate plane shows the shape of a hang glider. the perimeter of the glider is to be trimmed with a special material. What is the minimum length of material needed?

a. 54 feet b. 58 feet c. 64 feet d. 78 feet