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Questions and Answers
What is the Pythagorean theorem and how does it apply to special right triangles?
What is the Pythagorean theorem and how does it apply to special right triangles?
The Pythagorean theorem is a formula that states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. In special right triangles, such as the 45-45-90 and 30-60-90 triangles, the theorem can be used to find missing side lengths.
A ladder is leaning against a wall at a 60-degree angle. If the base of the ladder is 10 feet from the wall, how long is the ladder?
A ladder is leaning against a wall at a 60-degree angle. If the base of the ladder is 10 feet from the wall, how long is the ladder?
The ladder is 20 feet long.
A triangle has side lengths of 8, 15, and x, where x is the length of the hypotenuse. Is this a special right triangle, and if so, which one?
A triangle has side lengths of 8, 15, and x, where x is the length of the hypotenuse. Is this a special right triangle, and if so, which one?
This is not a special right triangle.