A triangle is a right triangle if one of its angles is a right angle (90 degrees). In a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In the case of a triangle with side lengths of 7 meters, 4 meters, and 5 meters, we can calculate the squares of the lengths of each side:
7^2 = 49
4^2 = 16
5^2 = 25
According to the Pythagorean theorem, for a triangle to be a right triangle, the sum of the squares of the two shorter sides (16 + 25 = 41) must be equal to the square of the longest side (49). In this case, the sum of the squares of the two shorter sides is not equal to the square of the longest side, so the triangle with side lengths of 7 meters, 4 meters, and 5 meters is not a right triangle.
why is a triangle with a sides the length of 7 meters, 4 meters, and 5 meters not a right triangle
1 answer
1 answer