• 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