What kind of triangle is it?

The six types of triangles are: isosceles, equilateral, scalene, obtuse, acute, and right. An isosceles triangle is a triangle with two congruent sides and one unique side and angle. Ex. An equilateral triangle is a triangle with three congruent sides and three congruent angles.

What are the properties of a triangle which differentiate it from other shapes?

A triangle has three sides, three vertices, and three angles. The sum of the three interior angles of a triangle is always 180°. The sum of the length of two sides of a triangle is always greater than the length of the third side. A triangle with vertices P, Q, and R is denoted as △PQR.

What do the corners of a triangle add up to?

A triangle’s angles add up to 180 degrees because one exterior angle is equal to the sum of the other two angles in the triangle.

Why do the exterior angles of a triangle add up to 360?

An exterior angle of a triangle is equal to the sum of the opposite interior angles. For more on this see Triangle external angle theorem. If the equivalent angle is taken at each vertex, the exterior angles always add to 360° In fact, this is true for any convex polygon, not just triangles.

Do all exterior angles of a triangle add up to 360?

All exterior angles of a triangle add up to 360°.

Why do all the exterior angles of a triangle add up to 360?

Answer. Let the exterior angles of A, B and C be ∠a, ∠b and ∠c respectively. Thus sum of exterior angles of a triangle is 360°.

What does the exterior angles of a triangle equal?

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle.

How do you find the interior and exterior angles of a triangle?

An exterior angle of a triangle is equal to the sum of the two opposite interior angles. Example: Find the values of x and y in the following triangle. y + 92° = 180° (interior angle + adjacent exterior angle = 180°.)

2019-07-27