Apply a Pythagorean triple to solve for the missing side of a triangle ex 1

The video tutorial explains Pythagorean triples, their properties, and how they can simplify solving right triangle problems. It highlights the importance of memorizing common triples and demonstrates that multiplying these triples by any number still results in valid triples. The tutorial concludes with an example of using a Pythagorean triple to find a missing hypotenuse without applying the Pythagorean theorem.

What is always true about the largest number in a Pythagorean triple?

• It is always a prime number.

• It is always an even number.

• It is always the hypotenuse.

• It is the smallest side of the triangle.

Why is it beneficial to memorize common Pythagorean triples?

• They help in solving algebraic equations.

• They are only useful for isosceles triangles.

• They are used in calculus problems.

• They eliminate the need to use the Pythagorean theorem for known triples.

What happens when you multiply a Pythagorean triple by a number?

• It forms an equilateral triangle.

• It becomes a scalene triangle.

• It remains a Pythagorean triple.

• It becomes invalid.

If you multiply the Pythagorean triple (3, 4, 5) by 2, what is the resulting triple?

• (5, 12, 13)

• (9, 12, 15)

• (7, 24, 25)

• (6, 8, 10)

In the example provided, what is the hypotenuse when the legs are 5 and 12?

• 10

• 12

• 15

• 13