In the diagram, how would you determine the length of the hypotenuse using the Pythagorean Theorem?
A
Find the area of the triangle then apply Pythagorean Theorem.
B
Subtract the area of the squares and then apply Pythagorean Theorem.
C
Add the areas of both squares together and then apply Pythagorean Theorem.
D
Find the length of one side of each square and then apply the Pythagorean Theorem.
If you tried to copy and paste a drawing, that does not work.
If you have read the Theorem, you know it is C
D
Find the length of one side of each square and then apply the Pythagorean Theorem.
The correct option to determine the length of the hypotenuse using the Pythagorean Theorem is D - Find the length of one side of each square and then apply the Pythagorean Theorem.
The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
To find the length of the hypotenuse, you need to follow these steps:
1. Identify the two shorter sides of the right-angled triangle. These are the sides that form the right angle.
2. Determine the length of each of these sides. In this case, you would find the length of one side of each of the two squares.
3. Square each of the side lengths. For example, if one square has a side length of 3 units and the other square has a side length of 4 units, you would square 3 and square 4.
4. Add the squares of the two side lengths together. In the example above, you would add 3 squared and 4 squared.
5. Take the square root of the sum obtained in step 4. This will give you the length of the hypotenuse.
Therefore, to determine the length of the hypotenuse, you need to find the length of one side of each square and then apply the Pythagorean Theorem.