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Yazan975
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View attachment 8415
I was thinking of using Pythagoras here but it didn't get me far
Any suggestions?
I was thinking of using Pythagoras here but it didn't get me far
Any suggestions?
"Pythagoras" works wonderfully!Yazan975 said:I was thinking of using Pythagoras here but it didn't get me far
Any suggestions?
To determine if a set of points forms a right-angled triangle, you can use the Pythagorean theorem. This theorem states that 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. Therefore, if the set of points satisfies this condition, it forms a right-angled triangle.
The formula for calculating the length of the hypotenuse in a right-angled triangle is c = √(a² + b²), where c represents the length of the hypotenuse, and a and b represent the lengths of the other two sides.
No, a set of points cannot form a right-angled triangle if it has three equal sides. In a right triangle, one of the angles must be 90 degrees, and the other two angles are acute (less than 90 degrees). Therefore, all three sides cannot be equal.
In a right-angled triangle, one of the angles is always 90 degrees, and the other two angles are acute (less than 90 degrees). The sum of the two acute angles is always 90 degrees. Therefore, in a right-angled triangle, the angles are complementary.
There are infinitely many ways a set of points can form a right-angled triangle. As long as the set of points satisfies the Pythagorean theorem (the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides), it forms a right-angled triangle. This means that the length of the sides can vary, as long as they satisfy the Pythagorean theorem.