Question

Would 25, 16, 12 form a right triangle

Answer 1

Largest side of triangle = 25 units

To check for right angled triangle, we will find if the sum of the squares of the shorter sides is equal to the square of the largest side.

16^2 + 12^2 = 256 + 144 = 400

25^2 = 625

Since the sum isn't equal to the largest side, the given dimensions can't make up to a right angled triangle.

Answer 2

Answer: No, 25, 16, 12 would not form a right angled triangle

Step by step explanation:

To find whether the given lengths form a right angled triangle or not: We'll use Pythagorean theorem.

If the square of the length of the longest side is equal 5² to the sum of the squares of remaining two sides, then the triangle will be a right angled triangle.

Lets see the given question:

Given sides: 25, 16, 12

Longest side: 25

16² + 12² = 256 + 144 = 400

25² = 625

=> 16² + 12² ≠ 25²

Thus, here we can see that, the square of longest side is not equal to squares of other two sides.

Thus, it's proved that the given sides don't form a right angled triangle.

Answer: 25, 16, 12 don't form a right angled triangle.