Isosceles Triangles

Front

What is an isosceles triangle?

Back

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

Tags

CCSS.4.G.A.2

Front

What is the property of angles in an isosceles triangle?

Back

The angles opposite the equal sides are also equal.

Tags

CCSS.HSG.CO.C.10

Front

If the equal sides of an isosceles triangle are 5 cm each, what is the minimum possible length of the base?

Back

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

Front

In an isosceles triangle, if one angle is 40°, what are the measures of the other two angles?

Back

The other two angles are each 70°.

Tags

CCSS.8.G.A.5

Front

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

Back

Area = (base * height) / 2.

Tags

CCSS.6.G.A.1

Front

If the base of an isosceles triangle is 10 cm and the height is 6 cm, what is the area?

Back

Area = (10 * 6) / 2 = 30 cm².

Tags

CCSS.6.G.A.1

Front

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

Back

The larger the angle, the longer the opposite side.

Tags

CCSS.HSG.CO.C.10

Front

How do you find the height of an isosceles triangle given the lengths of the sides?

Back

Use the Pythagorean theorem to find the height from the vertex to the base.

Tags

CCSS.HSG.SRT.C.8

Front

If the lengths of the equal sides of an isosceles triangle are 8 cm and the base is 6 cm, what is the height?

Back

Height = √(8² - (6/2)²) = √(64 - 9) = √55 cm.

Tags

CCSS.HSG.CO.C.11

Front

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

Back

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

Tags

CCSS.8.G.A.5