Isosceles Triangles

Front

What is an isosceles triangle?

Back

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

Front

What is the property of the angles in an isosceles triangle?

Back

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

Front

How do you calculate the height of an isosceles triangle?

Back

The height can be calculated by drawing a perpendicular line from the vertex opposite the base to the midpoint of the base.

Front

What is the formula for the area of an isosceles triangle?

Back

The area can be calculated using the formula: Area = (base * height) / 2.

Front

If the equal sides of an isosceles triangle are 10 cm and the base is 8 cm, how do you find the height?

Back

Use the Pythagorean theorem: height = √(10^2 - (8/2)^2) = √(100 - 16) = √84.

Front

What is the relationship between the base angles and the vertex angle in an isosceles triangle?

Back

The base angles are equal, and their sum with the vertex angle equals 180 degrees.

Front

How can you determine if a triangle is isosceles using side lengths?

Back

If two of the three side lengths are equal, the triangle is isosceles.

Front

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

Back

The sum of the interior angles of any triangle is always 180 degrees.

Front

If one angle of an isosceles triangle is 76 degrees, what are the measures of the other two angles?

Back

The other two angles are each (180 - 76) / 2 = 52 degrees.

Front

What is the significance of the vertex angle in an isosceles triangle?

Back

The vertex angle is the angle formed by the two equal sides and is unique compared to the base angles.