Classifying Triangles using the Pythagorean Theorem

This lesson teaches how to classify triangles using the Pythagorean Theorem. It covers identifying right, acute, and obtuse triangles based on their angles. The Pythagorean Theorem is explained, focusing on finding the hypotenuse and using formulas to classify triangles. Examples demonstrate how to apply these concepts to determine triangle types.

Which type of triangle has all angles less than 90 degrees?

• Equilateral triangle

• Obtuse triangle

• Acute triangle

• Right triangle

What is the formula used in the Pythagorean Theorem?

• a^2 - b^2 = c^2

• a^2 + b = c^2

• a^2 + b^2 = c^2

• a + b = c

How can you identify the hypotenuse in a right triangle?

• It is the side with the smallest number

• It is opposite the smallest angle

• It is the shortest side

• It is opposite the 90-degree angle

If the sum of the squares of the legs is less than the square of the hypotenuse, what type of triangle is it?

• Right triangle

• Acute triangle

• Obtuse triangle

• Scalene triangle

In a triangle with sides 6, 12, and 13, what type of triangle is it if 6^2 + 12^2 is greater than 13^2?

• Right triangle

• Acute triangle

• Obtuse triangle

• Isosceles triangle