What do equilateral triangles always add up to?

All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the interior angles, we know that the sum of all the angles is 180 degrees (from above)… And there are three angles… So, the measure of the interior angle of an equilateral triangle is 60 degrees.

What is the maximum number of equilateral triangles that can be formed at a time using 13 matchsticks?

The optimal answer is 2448. In general, from an equilateral triangle of side length (with ), you can cut triangles of side length 2.

How many equilateral triangles can be made?

6 triangles
Thus, the value of each angle at the center is equal to 60°. Hence, we see that all three angles of the 6 triangles formed in the given hexagon are equal to 60°. This proves that there are 6 equilateral triangles. We can thus form 6 equilateral triangles by connecting the opposite vertices of a regular hexagon.

What is a equilateral triangle shape?

An equilateral triangle is a triangle with all three sides of equal length , corresponding to what could also be known as a “regular” triangle. An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides equal. An equilateral triangle also has three equal.

Do triangles add up to 180 or 360?

The angle sum of a triangle will always be equal to 180°. The angle sum of a quadrilateral is equal to 360°, and a triangle can be created by slicing a quadrilateral in half from corner to corner. Since a triangle is essentially half of a quadrilateral, its angle measures should be half as well. Half of 360° is 180°.

How many triangles can be formed with 6 toothpicks?

If the number of sticks is a multiple of three, an equilateral triangle can be made because if the number is divisible by 3 the number of sticks making each side will be the same. Well done for these fantastic solutions and observations!…Age 7 to 11. Challenge Level.

How many equilateral triangles are there in a octagon?

Four equilateral triangles made in regular octagon.

How many triangles can be formed in a octagon?

There are 6 triangles in an octagon.