Question

What is the length of the unknown side of the right triangle?

a) 5
b) 17
c) 25
d) 60

Answer 1

The length of the unknown side of the right triangle can be found using the Pythagorean theorem. In this case, the correct answer is 25.

Step-by-step explanation:

The length of the unknown side of the right triangle can be found using the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the legs (a and b) is equal to the square of the hypotenuse (c). So, in this case, we have a² + b² = c². To find the length of the unknown side, we can rearrange the equation to solve for c: c = √(a² + b²).

Since we are given the options a) 5, b) 17, c) 25, and d) 60, we can substitute the values of a and b into the equation and check which option satisfies the equation. If we perform the calculations for each option, we find that option c) 25 is the correct answer, as √(3² + 4²) = √(9 + 16) = √25 = 5.

Answer 2

The length of the unknown side of a right triangle can be found using the Pythagorean theorem, however, specific measurements for the sides are required to provide a numerical answer.

This correct answer is none of the above.

Step-by-step explanation:

The student is required to find the length of the unknown side of a right triangle using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b).

Therefore, c = √(a² + b²). To solve for the length of the unknown side, one would need to plug in the given values for the sides a and b into the theorem's formula and then calculate c as the square root of the sum of the squares of a and b.

Without the specific measurements for sides a and b, the question cannot be answered accurately.

This correct answer is none of the above.