Pythagorean Theorem SOL Review

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 is expressed as a² + b² = c².

Front

What does 'c' represent in the Pythagorean Theorem?

Back

'c' represents the length of the hypotenuse, which is the longest side of a right triangle.

Front

What are 'a' and 'b' in the Pythagorean Theorem?

Back

'a' and 'b' are the lengths of the two legs of a right triangle.

Front

Is the Pythagorean Theorem applicable to all triangles?

Back

No, the Pythagorean Theorem is only applicable to right triangles.

Front

If one leg of a right triangle is 5 cm and the other leg is 12 cm, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c² = 5² + 12²; c² = 25 + 144; c² = 169; c = 13 cm.

Front

What is the opposite of squaring a number?

Back

The opposite of squaring a number is taking the square root.

Front

In a right triangle, which side is always the longest?

Back

The hypotenuse (side c) is always the longest side in a right triangle.

Front

If the lengths of the legs of a right triangle are both equal, what type of triangle is it?

Back

It is an isosceles right triangle.

Front

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

Back

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

Front

Can the lengths of the sides of a triangle be 3 cm, 4 cm, and 5 cm?

Back

Yes, these lengths satisfy the Pythagorean Theorem (3² + 4² = 5²).