Triangles SC p.III

Front

What does the term 'radicand' refer to in mathematics?

Back

The radicand is the number or expression inside a radical symbol (√).

Front

State the Pythagorean theorem formula.

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): a² + b² = c².

Front

How do you simplify the square root of a number?

Back

To simplify the square root of a number, factor the number into its prime factors, pair the factors, and take one factor out of the radical for each pair.

Front

What is the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

How do you find the length of the hypotenuse using the Pythagorean theorem?

Back

To find the length of the hypotenuse, use the formula c = √(a² + b²), where a and b are the lengths of the other two sides.

Front

What is the simplified form of √384?

Back

The simplified form of √384 is 8√6.

Front

What is the relationship between the sides of a right triangle?

Back

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Front

What is the value of X if X² = 12?

Back

The value of X is √12, which simplifies to 2√3.

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

What are the properties of the angles in a triangle?

Back

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