Pythagorean 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: c² = a² + b².

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem only applies to right triangles.

Front

How do you calculate the distance between two points (x1, y1) and (x2, y2)?

Back

Front

What is the distance between the points (-12, 1) and (12, -1)?

Back

The distance is 24.08.

Front

If a right triangle has legs of length 3 and 4, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c² = 3² + 4² = 9 + 16 = 25, so c = 5.

Front

What is the formula for finding the length of a side in a right triangle?

Back

The formula is derived from the Pythagorean Theorem: c² = a² + b², where c is the hypotenuse and a and b are the other two sides.

Front

What is the correct expression for the distance between points A(3,1) and B(-2,-1)?

Back

Front

Is the statement 'c² = a² - b²' true or false?

Back

False. The correct statement is c² = a² + b².

Front

What is the length of the missing side if one side is 30 cm and the hypotenuse is 50 cm?

Back

Using the Pythagorean Theorem: 50² = 30² + b², so b = 40 cm.

Front

What is a right triangle?

Back

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