Triangle Sum, Isosceles & Equilateral Practice

Front

What is the Triangle Sum Theorem?

Back

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.

Front

What are the properties of an isosceles triangle?

Back

An isosceles triangle has at least two sides that are equal in length, and the angles opposite those sides are also equal.

Front

What defines an equilateral triangle?

Back

An equilateral triangle is a triangle in which all three sides are of equal length and all three interior angles are equal, each measuring 60 degrees.

Front

How do you find the measure of an unknown angle in a triangle?

Back

To find an unknown angle in a triangle, use the Triangle Sum Theorem: subtract the sum of the known angles from 180 degrees.

Front

What is the formula for the perimeter of a triangle?

Back

The perimeter of a triangle is the sum of the lengths of all three sides: P = a + b + c.

Front

How do you classify triangles based on their angles?

Back

Triangles can be classified as acute (all angles < 90°), right (one angle = 90°), or obtuse (one angle > 90°).

Front

What is the relationship between the angles in an isosceles triangle?

Back

In an isosceles triangle, the angles opposite the equal sides are also equal.

Front

How can you determine if a triangle is obtuse?

Back

A triangle is obtuse if one of its angles measures greater than 90 degrees.

Front

What is the significance of the variable 'x' in angle equations?

Back

In angle equations, 'x' is often used as a variable to represent an unknown angle measure that can be solved using algebra.

Front

What is the formula for the area of a triangle?

Back

The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.