Final answer:
The length of the unknown side in a right triangle can be found using the Pythagorean theorem. For a triangle with sides of 9 blocks and 5 blocks, the hypotenuse is 10.3 blocks. For scaling ratios, proportions are solved to find the unknown length.The correct option is 3) 24.
Step-by-step explanation:
The student is asking about the length of the unknown side in a right triangle. This length can be found using the Pythagorean theorem, which states that in a right 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.
Using the given information with lengths of sides as 9 blocks and 5 blocks, we can calculate the hypotenuse of the triangle using the formula √((9 blocks)² + (5 blocks)²), which equals 10.3 blocks.
For scaling ratios problems, one uses proportionality to find the unknown length. If the ratio is given as 0.5 inches/75 miles = 3 inches/x miles, you solve for x by cross multiplying and dividing to find the value corresponding to 3 inches on the scale. This is an application of setting up and solving proportions..The correct option is 3) 24.