Pythagorean Theorem

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, commonly referred to as sides a and b.

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

If a = 3 and b = 4, what is c?

Back

c = 5 (using the Pythagorean Theorem: 3² + 4² = 9 + 16 = 25, so c = √25 = 5).

Front

Can the lengths 6, 8, and 10 form a right triangle?

Back

Yes, they can form a right triangle because 6² + 8² = 36 + 64 = 100, which equals 10².

Front

What is the formula to find the length of the hypotenuse?

Back

The formula to find the length of the hypotenuse is c = √(a² + b²).

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

If c = 13 and a = 5, what is b?

Back

b = 12 (using the Pythagorean Theorem: 5² + b² = 13², so 25 + b² = 169, thus b² = 144, and b = 12).

Front

What is a right triangle?

Back

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

Front

True or False: The Pythagorean Theorem can only be used for right triangles.

Back

True.

Front

What is the significance of the Pythagorean Theorem in construction?

Back

The Pythagorean Theorem is used in construction to ensure that structures are built with right angles.