Joey is building a frame for a sandbox. the sandbox is going to be a quadrilateral that has the lengths shown. if the diagonal of the sandbox measures 14 feet, which best describes the shape of the sandbox? a. a rectangle, because angle c is a right angle b. a rectangle, because angle c and angle x are congruent c. a quadrilateral, because angle c and angle x are acute d, a quadrilateral, because angle c and angle x are obtuse

The shape of the sandbox is a quadrilateral because angle C and angle X are acute and this can be determined by using the Pythagorean theorem.

Given :

The Pythagorean theorem can be used in order to determine given angle X and angle C are obtuse or acute.

According to the Pythagorean theorem --

If the sum of the squared of the shorter side is greater than the square of the larger side then the angle is an acute angle, that is:

If the sum of the squared of the shorter side is less than the square of the larger side then the angle is an obtuse angle, that is:

If the sum of the squared of the shorter side is equal to the square of the larger side then the angle is a right angle.

Now, check the angle is obtuse, acute, or right by using the Pythagorean theorem.

208 > 196

So, angle X and angle C are acute angles. Therefore, the correct option is C).

For more information, refer to the link given below:

link

the answer

b. they are parallel and will never intersect.

idk

step-by-step explanation: