Verifying Pythagorean Theorem Day 2

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 are the legs of a right triangle?

Back

The legs of a right triangle are the two sides that form the right angle. They are usually referred to as 'a' and 'b' in the Pythagorean Theorem.

Front

What is the hypotenuse of a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle. It is denoted as 'c' in the Pythagorean Theorem.

Front

How can you determine if a triangle is a right triangle?

Back

To determine if a triangle is a right triangle, check if the lengths of the sides satisfy the Pythagorean Theorem: a² + b² = c², where c is the longest side.

Front

What is an example of a right triangle?

Back

An example of a right triangle is a triangle with sides measuring 3, 4, and 5. Here, 3² + 4² = 5² (9 + 16 = 25).

Front

If a triangle has sides of lengths 11, 60, and 61, is it a right triangle?

Back

Yes, it is a right triangle because 11² + 60² = 61² (121 + 3600 = 3721).

Front

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

Back

In a right triangle, the sum of the squares of the two legs equals the square of the hypotenuse.

Front

Can a triangle with sides 7, 24, and 25 be a right triangle?

Back

Yes, it can be a right triangle because 7² + 24² = 25² (49 + 576 = 625).

Front

What does it mean if a triangle is not a right triangle?

Back

If a triangle is not a right triangle, it means that the angles do not include a 90-degree angle, and the Pythagorean Theorem does not apply.

Front

What is the formula to find the hypotenuse in a right triangle?

Back

The formula to find the hypotenuse (c) is c = √(a² + b²), where a and b are the lengths of the legs.