Right Triangles (Side and Pyth Thm)

Front

What is a right triangle?

Back

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

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). It can be expressed as: a² + b² = c².

Front

What is the longest side of a right triangle called?

Back

The longest side of a right triangle is called the hypotenuse.

Front

What is the Altitude Rule in right triangles?

Back

The Altitude Rule states that the altitude drawn to the hypotenuse of a right triangle creates two smaller right triangles that are similar to the original triangle and to each other.

Front

What is the Leg Rule in right triangles?

Back

The Leg Rule states that the length of a leg of a right triangle can be found using the lengths of the hypotenuse and the other leg.

Front

How do you find the perimeter of a right triangle?

Back

The perimeter of a right triangle is found by adding the lengths of all three sides: P = a + b + c.

Front

If one leg of a right triangle is 3 cm and the other leg is 4 cm, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c = √(3² + 4²) = √(9 + 16) = √25 = 5 cm.

Front

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

Back

The area of a right triangle can be calculated using the formula: Area = (1/2) * base * height.

Front

If the legs of a right triangle are 5 cm and 12 cm, what is the perimeter?

Back

Perimeter = 5 + 12 + 13 = 30 cm (where 13 is the hypotenuse calculated using the Pythagorean Theorem).

Front

What is the relationship between the angles in a right triangle?

Back

In a right triangle, the sum of the three angles is always 180 degrees, with one angle being 90 degrees.