# Find out if a triangle is right-angled if its sides are expressed by the numbers 10 24 26.

July 25, 2021 | education

| If the triangle is rectangular, then the square of the hypotenuse will be equal to the sum of the squares of the legs (Pythagoras’ theorem).

The sides of the triangle are equal: 10, 24 and 26. The hypotenuse must be the longest of all sides, so we substitute the values into the formula according to the Pythagorean theorem and check if the equality is true.

26 ^ 2 = 10 ^ 2 + 24 ^ 2

676 = 100 + 576

676 = 676 (correct equality), so the triangle is right-angled.

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