How to use the pythagorean theorem to find the missing length of a kite

The video tutorial guides students through solving a geometry problem involving a kite. It begins by identifying the task of finding a side length and explains the properties of kites, including congruent sides and perpendicular diagonals. The instructor extracts the geometric figure and applies the Pythagorean theorem to find the hypotenuse of a right triangle formed within the kite. The solution is calculated, and the process is concluded with the final answer.

What is a key characteristic of a kite in geometry?

• It has two pairs of parallel sides.

• It has a pair of congruent diagonals.

• It has two pairs of congruent sides.

• All angles are equal.

What is the relationship between the angles in a linear pair?

• They are equal.

• They add up to 90 degrees.

• They add up to 180 degrees.

• They are complementary.

Which theorem is used to find the length of the hypotenuse in a right triangle?

• Angle bisector theorem

• Congruent triangles theorem

• Triangle inequality theorem

• Pythagorean theorem

In the Pythagorean theorem, what does 'C' represent?

• One of the legs of the triangle

• The area of the triangle

• The hypotenuse of the triangle

• The perimeter of the triangle

What is the result of 20 squared plus 12 squared in the context of the problem?

• 256

• 544

• 400

• 144