Question

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

Answer 1

True or False: A triangle with sides 11, 24 and 25 is a right triangle.(1 point)

Answer 2

B. Between square root 25 and square root 36

Answer 3

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.