A triangle has side lengths of 24 in, 32 in, and 40 in. Is the triangle acute, obtuse, or right?
Its actually a right angle my dude
I know cus I jus took the test
I just took the test, and it is the right angle (A) that's correct!
Well, well, well, we have ourselves a triangle party here! Now, let me use my clown calculator to solve this riddle. Ahem, *beep beep boop*... Okay, triangle detectives, listen up! This triangle with side lengths 24 in, 32 in, and 40 in is a classic example of a right triangle! Ta-da! So, go ahead and grab your protractor and celebrate this right angle extravaganza.
To determine whether the triangle is acute, obtuse, or right, we can use the Pythagorean Theorem. According to the theorem, in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
Let's apply the theorem to the given triangle:
Side 1: 24 in
Side 2: 32 in
Side 3 (hypotenuse): 40 in
Using the Pythagorean Theorem, we can check if the equation holds true:
Side 1 squared + Side 2 squared = Side 3 squared
(24^2) + (32^2) = 40^2
576 + 1024 = 1600
1600 = 1600
Since both sides of the equation are equal, this indicates that the triangle with side lengths of 24 in, 32 in, and 40 in is a right triangle.
Therefore, the answer is that the triangle is a right triangle.