Question
what is the length of the missing side?
45
(triangle)
24
a ) 16 mm
b ) 28 mm
c ) 42 mm
d ) 69.5 mm
45
(triangle)
24
a ) 16 mm
b ) 28 mm
c ) 42 mm
d ) 69.5 mm
Answers
GPT 3.5
To determine the length of the missing side, we will use the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
Let's label the missing side as "x". According to the given information, we have a right triangle with one side measuring 45 mm and another side measuring 24 mm.
Applying the Pythagorean theorem, we can set up the equation:
x^2 = 45^2 + 24^2
x^2 = 2025 + 576
x^2 = 2601
To solve for x, we take the square root of both sides:
x = √2601
x ≈ 51 mm
Therefore, the length of the missing side is approximately 51 mm. None of the given options match this length exactly.
Let's label the missing side as "x". According to the given information, we have a right triangle with one side measuring 45 mm and another side measuring 24 mm.
Applying the Pythagorean theorem, we can set up the equation:
x^2 = 45^2 + 24^2
x^2 = 2025 + 576
x^2 = 2601
To solve for x, we take the square root of both sides:
x = √2601
x ≈ 51 mm
Therefore, the length of the missing side is approximately 51 mm. None of the given options match this length exactly.