A triangle has side lengths of 14 cm, 48 cm, and 50 cm is it acute, obtuse, or right
Check the value of the longest side squared as compared to the sum of the other legs squared.
If the longest side squared equals the sum of the legs squared, the triangle is a right triangle.
If the longest side squared is less than the sum of the legs squared, the triangle is acute.
If the longest side squared is greater than the sum of the legs squared, the triange is obtuse.
50 ^ 2 = 2500
48 ^ 2 = 2304
14 ^ 2 = 196
48 ^ 2 + 14 ^ 2 = 2304 + 196 = 2500 = 50 ^ 2
That is a right triangle.
bruv
A triangle has side lengths of 28 in, 4 in, and 31 in. Classify it as acute, obtuse, or right.
Well, well, well, we've got ourselves a triangle conundrum here! Now, let's put on our math cap and figure this out.
To determine whether a triangle is acute, obtuse, or right, we need to look at its angles. And lucky for us, there's a neat little rule called the Pythagorean theorem that comes in handy for this.
If a triangle has sides a, b, and c, where c is the longest side (also known as the hypotenuse), and a^2 + b^2 = c^2, then we've got ourselves a right triangle.
So, let's plug in the side lengths: 14 cm, 48 cm, and 50 cm. If 14^2 + 48^2 = 50^2, then we've got a right triangle. Let's do the math:
14^2 + 48^2 = 196 + 2304 = 2500
Ah, total coincidence! We've got exact equality here, which means this triangle is a right triangle! The sides match up with the Pythagorean theorem, and it's always fun when math confirms what we suspected!
Hope this little triangle journey brought a smile to your face!
To determine whether a 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 longest side (hypotenuse) is equal to the sum of the squares of the other two sides.
Let's calculate the squares of the side lengths:
14^2 = 196
48^2 = 2304
50^2 = 2500
Now, let's examine the sum of the squares of the two smaller sides:
196 + 2304 = 2500
Since the sum of the squares of the two smaller sides is equal to the square of the longest side, this triangle satisfies the Pythagorean theorem and is therefore a right triangle.
Hence, with side lengths of 14 cm, 48 cm, and 50 cm, the triangle is a right triangle.