Drag and drop the given set of measurements into the correct box to describe whether the measurements can describe the lengths of the three sides of a right triangle or not.(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Could Be the Sides of a Right Triangle Cannot Be the Sides of a Right Triangle
6, 8, 10
3, 4, 5
7, 24, 25
9, 12, 15
5, 5, 10
To determine whether the given set of measurements can describe the lengths of the three sides of a right triangle or not, I will need to see the measurements. Please provide the measurements so that I can assist you further.
To determine whether a set of measurements can describe the lengths of the three sides of a right triangle, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
To solve this problem, we need to square each measurement and check if the sum of the squares of the two smaller sides equals the square of the largest side. If it does, then the measurements can describe the lengths of the three sides of a right triangle. If not, then they cannot.
Here are the given measurements:
- Measurement 1: ____
- Measurement 2: ____
- Measurement 3: ____
To determine whether these measurements can describe the lengths of the three sides of a right triangle, calculate the squares of each measurement and compare them using the Pythagorean theorem. If the measurements satisfy the theorem, then the lengths can describe the sides of a right triangle. If not, then they cannot.
So, for each measurement, square the number and calculate the sum of the squares of the two smaller sides. Compare the sum of those squares to the square of the largest side. Based on the result, drag and drop the measurements into the corresponding boxes:
Could Be the Sides of a Right Triangle: [ ]
Cannot Be the Sides of a Right Triangle: [ ]