52,520 views
32 votes
32 votes
Select all the choices that match how you would fill in the Pythagorean theorem from the triangle below.

Select all the choices that match how you would fill in the Pythagorean theorem from-example-1
User Ndeuma
by
2.8k points

1 Answer

16 votes
16 votes

• 24² + 7² = 25²

• 7² + 24² = 25²

STEP BY STEP EXPLANATION

What to find?

The choices that match how you would fill in the Pythagorean theorem from the triangle given.

To solve the given question, we will follow the steps below:

Step 1

Recall the Pythagorean theorem.

Pythagorean theorem

The pythagoras theorem states that in a right- triangle, the sum of the square of the opposite side and the square of the adjacent side is equal to the square of the hypotenuse side.

That is;

opposite² + adjacent² = hypotenuse²

Step 2

Identify the hypotenuse side of the given diagram.

Note: The hypotenuse side is opposite the right-angle and it is the longest side.

Hence, the hypotenuse =25

Step 3

You can now make any choice of your adjacent or opposite side.

This implies that, opposite can be 7 and adjacent = 24 or

opposite = 24 and adjacent = 7.

Step 4

Insert the values into the Pythagorean formula.

We can have either;

24² + 7² = 25²

or

7² + 24² = 25²

User KyleK
by
3.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.