Special Right Triangles

Front

What is a 30°-60°-90° triangle?

Back

A special right triangle where the angles measure 30°, 60°, and 90°. The sides are in the ratio 1:√3:2.

Tags

CCSS.HSG.CO.C.10

Front

What is a 45°-45°-90° triangle?

Back

A special right triangle where the angles measure 45°, 45°, and 90°. The sides are in the ratio 1:1:√2.

Tags

CCSS.8.G.B.8

Front

What is the relationship between the angles in a triangle?

Back

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

Tags

CCSS.8.G.A.5

Front

How do you determine if a triangle is obtuse?

Back

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

Tags

CCSS.4.G.A.2

Front

What is the Pythagorean theorem?

Back

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.8

Front

If one angle of a triangle is 90°, what type of triangle is it?

Back

It is a right triangle.

Tags

CCSS.4.G.A.2

Front

What are the side lengths of a 30°-60°-90° triangle if the shortest side is 2?

Back

The lengths are 2 (shortest), 2√3 (longer leg), and 4 (hypotenuse).

Tags

CCSS.8.G.B.8

Front

What type of triangle is formed by sides of lengths 4, 6, and 8?

Back

It is an obtuse triangle.

Tags

CCSS.4.G.A.2

Front

If x is the angle opposite the longest side in a triangle, what can be said about x?

Back

Angle x must be greater than 90° if the triangle is obtuse.

Tags

CCSS.HSG.CO.C.10

Front

What is the formula to find the area of a right triangle?

Back

Area = (1/2) * base * height.

Tags

CCSS.6.G.A.1