To determine if a triangle is a right triangle, we can use the Pythagorean theorem. According to the theorem, for 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 other two sides.
In this case, if we label the sides of the triangle as follows:
a = 60
b = 75
c = 45 (hypotenuse)
We can check if the theorem holds true:
a^2 + b^2 = c^2
60^2 + 75^2 = 45^2
3600 + 5625 = 2025
Clearly, the equation given in this option is incorrect. So, the correct answer is:
C: No, because 9,225 does not equal 2,025
If a triangle has sides measuring 60, 75, and 45, is it a right triangle? which of the following is correct?
A: No because 5,625 does not equal 3,600
B: Yes, because 3,600 equals 3,600
C: No, because 9,225 does not equal 2,025
D: Yes, because 5,625 equals 5,625
1 answer
1 answer