Suppose you are using the Pythagorean theorem to
find the length of the base of the given triangle. Which
expression is appropriate for this situation?




Answer :

Using the Pythagorean Theorem, the length of the base is: 15 units.

What is the Pythagorean Theorem?

The Pythagorean theorem is used to find any of the length of the legs or hypotenuse of a right triangle if we know any two measures of its side. The theorem is given as: the square of the hypotenuse = sum of the squares of the legs of the right triangle.

It can be expressed as c² = a² + b², where c is the longest side of the right triangle.

Note: The hypotenuse is the longest side of the triangle.

Thus, given the triangle in the image below, where:

c = 25

a = 20

b = length of the base

The expression that would be appropriate for this situation would be written based on the Pythagorean Theorem, which is:

b = √(c² - a²)

Substitute

b = √(25² - 20²)

b = 15 units

The length of the base is: 15 units.

Learn more about the Pythagorean Theorem on:

https://brainly.com/question/343682

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