Can the numbers 24, 32, and 40 make a right triangle?
We will be using the Pythagoras theorem to solve this.
Answer: Yes, the numbers 24, 32, and 40 can make a right triangle.
Let's solve this step by step.
Given that sides; a = 24, b = 32, c = 40.
According to the Pythagorean theorem, we know that in a right triangle, the square of the hypotenuse (longest side) is equal to the sum of the square of the other two legs.
We need to check whether c2 = a2 + b2.
c2 = (40)2 = 1600
a2 + b2 = (24)2 + (32)2 = 576 + 1024 = 1600
Hence, c2 = a2 + b2
You can also use the Pythagorean Theorem Calculator to check this.
Thus, the numbers 24, 32, and 40 make a right triangle.