The sum of the interior angles of any triangle is ___ degrees.

180 degrees

In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the two legs. This is known as ___ theorem.

Pythagorean theorem

An equilateral triangle has all sides of equal length and each angle measures ___ degrees.

60 degrees

If the sides of a triangle are 3 cm, 4 cm, and 5 cm, then this triangle is classified as ___ triangle.

Right-angled triangle

A triangle with sides measuring 5 cm, 7 cm, and 12 cm cannot be formed because ___.

The sum of the two shorter sides is not greater than the longest side.

In triangle ABC, if angle A is 50 degrees and angle B is 70 degrees, then angle C is ___ degrees.

60 degrees

For an isosceles triangle, the angles opposite to the equal sides are ___.

Equal

If the lengths of the sides of a triangle are in the ratio 2:3:4, then the triangle is classified as ___ triangle.

Scalene triangle

The formula to calculate the area of a triangle is ___.

1/2 * base * height

True or False: The sum of any two sides of a triangle must be less than the length of the third side.

False. The sum must be greater than the length of the third side.

A triangle has angles of 40 degrees and 100 degrees. The measure of the third angle is ___ degrees.

40 degrees

The median of a triangle is a segment drawn from a vertex to the ___ of the opposite side.

Midpoint

The property that states the sum of the lengths of any two sides of a triangle must be greater than the length of the third side is known as the ___ inequality.

Triangle inequality

If a triangle has one angle greater than 90 degrees, it is classified as an ___ triangle.

Obtuse-angled triangle

In a right-angled triangle ABC (right-angled at A), if AB = 5 cm and AC = 12 cm, the length of BC can be found using the _______ theorem.

Pythagorean