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classify the following triangles as either right triangle, isosceles, s…

Question

classify the following triangles as either right triangle, isosceles, scalene or equilateral triangle

Explanation:

Step1: Recall triangle - type definitions

A right - triangle has one 90° angle. An isosceles triangle has at least two equal sides. A scalene triangle has no equal sides. An equilateral triangle has three equal sides and three 60° angles.

Step2: Analyze triangle 1

There is a right - angle symbol, so it is a right - triangle.

Step3: Analyze triangle 2

There is a right - angle symbol, so it is a right - triangle.

Step4: Analyze triangle 3

It has two equal - side markings, so it is an isosceles triangle.

Step5: Analyze triangle 4

It has two equal - side markings, so it is an isosceles triangle.

Step6: Analyze triangle 5

It has two equal - side markings, so it is an isosceles triangle.

Step7: Analyze triangle 6

It has two equal - side markings, so it is an isosceles triangle.

Step8: Analyze triangle 7

There is a right - angle symbol, so it is a right - triangle.

Step9: Analyze triangle 8

There is a right - angle symbol and two equal - side markings, so it is a right - isosceles triangle.

Step10: Analyze triangle 9

It has three 60° angles, so it is an equilateral triangle.

Step11: Analyze triangle 10

All angles are different, so all sides are different, and it is a scalene triangle.

Answer:

  1. Right - triangle
  2. Right - triangle
  3. Isosceles triangle
  4. Isosceles triangle
  5. Isosceles triangle
  6. Isosceles triangle
  7. Right - triangle
  8. Right - isosceles triangle
  9. Equilateral triangle
  10. Scalene triangle