Estimate between which two numbers would you find the solution to square root 24.
Responses
A. Between square root 4 and square root 49
B. Between square root 25 and square root 36
C. Between square root 64 and square root 81
B. Between square root 25 and square root 36
True or False: A triangle with sides 11, 24 and 25 is a right triangle.(1 point)
True. A triangle with sides 11, 24, and 25 satisfies 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. In this case, 11^2 + 24^2 = 121 + 576 = 697, which is equal to 25^2. Therefore, the triangle with sides 11, 24, and 25 is a right triangle.
To estimate the solution to the square root of 24, we can look for the two perfect square numbers that are closest to 24.
Option A: Between the square root of 4 and the square root of 49. The square root of 4 is 2, and the square root of 49 is 7. However, 24 is larger than 4, so it is not a good estimate.
Option B: Between the square root of 25 and the square root of 36. The square root of 25 is 5, and the square root of 36 is 6. 24 is smaller than 25, so this is a better estimate.
Option C: Between the square root of 64 and the square root of 81. The square root of 64 is 8, and the square root of 81 is 9. However, 24 is smaller than 64, so this is not a good estimate.
Therefore, the answer is B. Between the square root of 25 and the square root of 36.