Triangles Basics

Rarely Tested

- The Sum of all angles in a triangle is 180 degrees.

- An angle less than 90 degrees is called an Acute angle.

- An angle greater than 90 degrees is called an Obtuse angle.

- The Sum of any two sides of a triangle is always greater than the third side.

- A triangle with two sides equal is called an Isosceles triangle. The two angles of an isosceles triangle that are not contained between the equal sides are equal.

    - A triangle with all sides equal is called an Equilateral triangle. All angles of an equilateral triangle equal 60 degrees.

    - A triangle with all sides unequal is called a Scalene triangle.

    - If in a triangle all of its angles are less than 90 degrees then that triangle is called an Acute-angled triangle.

    - A triangle with one of its angles equal to 90 degrees then that triangle is called a Right-angled triangle.

    - A triangle with one of its angles greater than 90 degrees then that triangle is called an Obtuse-angled triangle.

    - If one side of a triangle is produced, then that exterior angle formed is equal to the sum of the opposite remote interior angles.

    - The Sum of any two sides of a triangle is always greater than the third side.

    -The difference between any two sides of a triangle is always less than its third side.

    -If a, b, and c are the sides of a triangle and c is the largest side, then:

        1. Acute Angled Triangle: c$$^2$$ < a$$^2$$ + b$$^2$$

        2. Right Angled Triangle: c$$^2$$= a$$^2$$ + b$$^2$$

        3. Obtuse Angled Triangle: c$$^2$$ > a$$^2$$ + b$$^2$$

              Question 1

              If a triangle ABC, $$\angle BCA=50^{0}$$. D and E are points on $$AB$$ and $$AC$$, respectively, such that $$AD=DE$$. If F is a point on $$BC$$ such that $$BD=DF$$, then $$\angle FDE$$, in degrees, is equal to

              Question 2

              A triangle is drawn on a clock face connecting 1, 6 and 11. What are the angles of the triangle?

              Question 3

              Which of the following can't be the ratio of angles of an acute angled triangle?

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