Finding the height of a rhombus using pythagorean theorem

The video tutorial explains how to solve a geometry problem involving a triangle embedded in another figure. The task is to find the length of an unknown leg, H, using the Pythagorean theorem. The instructor identifies the hypotenuse and one leg, then calculates the unknown leg. The solution is simplified to express the length of the leg in terms of square roots.

What is the first step in solving for the unknown side H in a triangle problem?

• Identify the length of all sides

• Find the perimeter of the triangle

• Determine if the triangle is right-angled

• Calculate the area of the triangle

Which theorem is used to find the unknown side in a right triangle?

• Area Formula

• Cosine Rule

• Sine Rule

• Pythagorean Theorem

In the Pythagorean theorem, what does the equation A^2 + B^2 = C^2 represent?

• The sum of the squares of the legs equals the square of the hypotenuse

• The sum of the angles in a triangle

• The area of a right triangle

• The perimeter of a triangle

What is the value of the hypotenuse in the given problem?

• 10

• 7

• 3

• 5

What is the simplified form of the unknown side H in the problem?

• 4 sqrt 5

• 5 sqrt 3

• 3 sqrt 2

• 2 sqrt 10