Triangle Side Lengths and Properties - December 2, 2024

Front

What is the base of a triangle?

Back

The base of a triangle is one of its sides, often considered the side on which the triangle stands. In the context of the provided question, Segment AB is the base.

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

If two sides of a triangle are 14 cm and 19 cm, what is a possible length for the third side?

Back

11 cm is a possible length for the third side, as it satisfies the Triangle Inequality Theorem.

Front

What is an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length.

Front

In an isosceles triangle, if the base angles are equal, what can be said about the vertex angle?

Back

The vertex angle is determined by the measures of the base angles; if the base angles are equal, the vertex angle can be calculated using the formula: Vertex Angle = 180° - 2(Base Angle).

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180°.

Front

If an isosceles triangle has a base angle measuring 40°, what is the measure of the vertex angle?

Back

The vertex angle measures 100°.

Front

What is the definition of a scalene triangle?

Back

A scalene triangle is a triangle in which all three sides are of different lengths.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Front

How do you find the length of a side in a triangle using the Pythagorean theorem?

Back

To find the length of a side, use the formula: c² = a² + b², where c is the length of the hypotenuse and a and b are the lengths of the other two sides.