Isosceles and Equilateral Triangles

Front

What is an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length and the angles opposite those sides are equal.

Tags

CCSS.4.G.A.2

Front

What is an equilateral triangle?

Back

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

Tags

CCSS.4.G.A.2

Front

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

Back

In an isosceles triangle, the angles opposite the equal sides are equal. If you know one angle, you can find the others using the fact that the sum of angles in a triangle is 180 degrees.

Tags

CCSS.8.G.A.5

Front

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

Back

In an equilateral triangle, all three angles are equal, and each measures 60 degrees.

Tags

CCSS.8.G.A.5

Front

How do you calculate the height of an isosceles triangle?

Back

The height can be calculated using the Pythagorean theorem. If 'b' is the base and 'a' is the length of the equal sides, the height 'h' can be found using h = √(a² - (b/2)²).

Tags

CCSS.6.G.A.1

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.

Tags

CCSS.6.G.A.1

Front

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

Back

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

Tags

CCSS.8.G.A.5

Front

How do you find the length of a side in a triangle using the Law of Cosines?

Back

The Law of Cosines states that c² = a² + b² - 2ab * cos(C), where 'c' is the side opposite angle C, and 'a' and 'b' are the other two sides.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): c² = a² + b².

Tags

CCSS.8.G.B.7

Front

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

Back

A triangle is isosceles if at least two of its side lengths are equal.

Tags

CCSS.2.G.A.1