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 angles in an isosceles triangle?

Back

The angles opposite the equal sides are also equal.

Front

If the equal sides of an isosceles triangle are 10 cm each, what is the minimum possible length of the base?

Back

The minimum possible length of the base is greater than 0 cm but less than 20 cm.

Front

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

Back

Area = (base * height) / 2.

Front

In an isosceles triangle, if the vertex angle is 40°, what are the base angles?

Back

Each base angle is 70°.

Front

How do you find the height of an isosceles triangle?

Back

The height can be found by drawing a perpendicular line from the vertex to the base, creating two right triangles.

Front

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

Back

The larger the angle, the longer the opposite side.

Front

If the lengths of the equal sides of an isosceles triangle are 5 cm and the base is 6 cm, can this triangle exist?

Back

Yes, it can exist because the sum of the lengths of the two equal sides (5 + 5 = 10) is greater than the base (6).

Front

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

Back

The sum of the interior angles of any triangle is 180°.

Front

If the base of an isosceles triangle is 8 cm and the equal sides are 10 cm, what is the height?

Back

Using the Pythagorean theorem, the height is approximately 6 cm.