Tech Station: Pythagorean Theorem

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 type of triangle has all angles less than 90 degrees?

Back

An acute triangle.

Front

If a triangle has one angle greater than 90 degrees, what type of triangle is it?

Back

An obtuse triangle.

Front

What is the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

Given a right triangle with legs of lengths 12 and 35, what is the length of the hypotenuse?

Back

37.

Front

In a right triangle, if one leg is 5 feet and the hypotenuse is 13 feet, what is the length of the other leg?

Back

12 feet.

Front

What is the formula to find the length of a missing side in a right triangle?

Back

Use the Pythagorean Theorem: a² + b² = c².

Front

If the lengths of two sides of a right triangle are 8 and 15, what is the length of the hypotenuse?

Back

17.

Front

What is the distance from the ground to the top of a ladder leaning against a wall if the ladder is 13 feet long and the base is 5 feet away from the wall?

Back

12 feet.

Front

What is an acute triangle?

Back

A triangle where all three angles are less than 90 degrees.