Question

A triangle has sides with lengths of 21m, 28m, and 49m. Is it a right triangle?​

Answer 1

Answer:

To find : If 21m, 28m and 49m form a right angle or not.

Logic : To find if this triangle is a right angle, we can use the Pythagoras Theorem, which states that the square if the longest side should be equal to the square of the sum of the other two sides.

The name of the longest side is called the hypotenuse, while the others are called legs or one is the perpendicular and the other the base.

Proof : $h^{2} = p^{2} + b^{2}$

=> $49^{2} = 28^{2} + 21^{2}$

=> 2401 = 784 + 441

=> 2401 ≠ 1225

Therefore these side lengths cannot be the lengths of a right angled triangle.

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