Triangle Properties and Pythagorean Theorem

The video tutorial covers the Pythagorean theorem, explaining its application to right triangles. It includes practice problems to find missing sides and discusses the converse theorem to identify triangle types. The tutorial emphasizes understanding the theorem's formula and its use in geometry.

What type of triangles does the Pythagorean Theorem apply to?

• Equilateral triangles

• Isosceles triangles

• Scalene triangles

• Right triangles

In a right triangle, what is the side opposite the right angle called?

• Leg

• Adjacent side

• Opposite side

• Hypotenuse

What is the formula for the Pythagorean Theorem?

• a^2 - b^2 = c^2

• a^2 + b^2 = c^2

• a + b = c^2

• a^2 + b^2 = c

If one leg of a right triangle is 4 units and the other leg is 8 units, what is the length of the hypotenuse?

• 9.5 units

• 12 units

• 10 units

• 8.9 units

Given a right triangle with legs of 3.6 units and 7.4 units, what is the length of the missing leg?

• 5.5 units

• 6.5 units

• 7.2 units

• 8.1 units

If the sides of a right triangle are 5.2 units and 9.2 units, what is the length of the hypotenuse?

• 13.3 units

• 10.6 units

• 11.2 units

• 12.1 units

What type of triangle is formed if the sum of the squares of the two shorter sides is less than the square of the longest side?

• Scalene triangle

• Acute triangle

• Right triangle

• Obtuse triangle

What type of triangle is formed if the sum of the squares of the two shorter sides is greater than the square of the longest side?

• Acute triangle

• Isosceles triangle

• Obtuse triangle

• Right triangle

What type of triangle is formed if the sum of the squares of the two shorter sides is equal to the square of the longest side?

• Obtuse triangle

• Right triangle

• Acute triangle

• Equilateral triangle

Given the sides of a triangle are 3, 4, and 5 units, what type of triangle is it?

• Scalene triangle

• Right triangle

• Obtuse triangle

• Acute triangle