Answer :
By applying the Pythagorean theorem, it is proven that a triangle is a right triangle.
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According to the Pythagorean theorem, a triangle is a right triangle if the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b).
The equation is:
- c² = a² + b²
For this triangle side lengths given:
- a = 15
- b = 20
- c = 25
Calculate the squares:
- 15² = 225
- 20² = 400
- 25² = 625
Add a² and b²:
- 225 + 400 = 625
Since 625 = 625, the triangle with sides 15, 20, and 25 is indeed a right triangle.
