Classify Triangles Using Distance and Pythagorean Theorem

Find the side lengths in order to classify this triangle.

• Equilateral

• Scalene

• Isosceles

Classify triangle ABE.

• right scalene triangle

• right isosceles triangle

• right equiangular triangle

Classify the triangle by angle and side.

• Right Scalene Triangle

• Right Isosceles Triangle

• Right Equilateral Trianbgle

Side Classification: ​ (a)  

Angle Classification: ​ (b)  

• Scalene

• Right

• Isosceles

• Acute

• Obtuse

• Equilateral

How many times should you use the distance formula to determine if a triangle is scalene, isosceles or equilateral?

• 1

• 2

• 3

• 4

Use the distance formula to classify the following triangle

A (1 , 0) B (3 , 1) C (4 , 5)

• Equilateral

• Scalene

• Isnosceles

• Right angled

Given the vertices of triangle ELV, Leo must prove that it is an isoceles right triangle. Which of the following calculations must Leo do?

• Use the Distance Formula and the Pythagorean Theorem to show that the Pythagorean Theorem is true.

• Use the Midpoint Formula to show that the Pythagorean Theorem is true.

• Use the Midpoint Formula to show that the slopes are perpendicular.

• Use the Slope Formula to show that two side lengths are equal.

To prove that triangle ABC is equilateral, Barry decided to show that all side lengths are equal. To do so, which calculation must Barry perform?

• Find the midpoint of each segment, using the midpoint formula.

• Find the length of each segment, using the distance formula.

• Find the altitude, using the distance formula.

• Find the length of the hypotenuse, using the Pythagorean Theorem.

Which of these triangles is a right triangle?

• 6, 8, 10

• 3, 7, 8

Side Classification: ​ (a)  

Angle Classification: ​ (b)  

• Isosceles

• Acute

• Right

• Obtuse

• Equilateral

• Scalene