Special Right Triangles & Radical Properties

Front

What is a special right triangle?

Back

A special right triangle is a triangle with specific angle measures that allow for easy calculation of side lengths. The two main types are the 45-45-90 triangle and the 30-60-90 triangle.

Front

What is the ratio of the sides in a 45-45-90 triangle?

Back

In a 45-45-90 triangle, the sides are in the ratio 1:1:√2.

Front

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

Back

In a 30-60-90 triangle, the sides are in the ratio 1:√3:2.

Front

How do you simplify √a * √b?

Back

√a * √b = √(a*b).

Front

What is the simplified form of √(a^2)?

Back

The simplified form of √(a^2) is |a|.

Front

How do you simplify √(m/n)?

Back

√(m/n) = √m / √n.

Front

What is the value of √(x^2) when x is positive?

Back

When x is positive, √(x^2) = x.

Front

What is the process to simplify 3√a + 4√a?

Back

3√a + 4√a = (3 + 4)√a = 7√a.

Front

What is the value of √(16)?

Back

The value of √(16) is 4.

Front

How do you combine like radicals?

Back

Combine like radicals by adding or subtracting their coefficients while keeping the radical part the same.