Special Right Triangles

Front

What are the properties of a 45-45-90 triangle?

Back

In a 45-45-90 triangle, the legs are of equal length, and the length of the hypotenuse is equal to the length of a leg multiplied by √2.

Front

How do you find the length of the hypotenuse in a 45-45-90 triangle?

Back

To find the length of the hypotenuse, multiply the length of one leg by √2.

Front

What is the ratio of the sides in a 30-60-90 triangle?

Back

In a 30-60-90 triangle, the ratio of the lengths of the sides is 1:√3:2.

Front

How do you find the length of the shorter leg in a 30-60-90 triangle?

Back

To find the length of the shorter leg, divide the length of the hypotenuse by 2.

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula: Area = 1/2 * base * height.

Front

What is the Pythagorean theorem?

Back

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

Front

How do you determine the length of a leg in a 45-45-90 triangle if the hypotenuse is known?

Back

If the hypotenuse is known, divide its length by √2 to find the length of each leg.

Front

What is the relationship between the angles in a 45-45-90 triangle?

Back

In a 45-45-90 triangle, both angles are 45 degrees, making it an isosceles right triangle.

Front

What is the length of the hypotenuse if each leg of a 45-45-90 triangle is 10?

Back

The length of the hypotenuse would be 10√2.

Front

How do you find the length of the longer leg in a 30-60-90 triangle?

Back

To find the length of the longer leg, multiply the length of the shorter leg by √3.