Question

Доказать, что в прямоугольном треугольнике два угла острые.пж срочно нужно ​

Answer 1

Ответ:

один угол 90 градусов, на остальные два остаётся в сумме 90 градусов, то есть эти углы априори меньше 90.

Answer 2

Proof that in a right-angled triangle, two angles are acute

In a right-angled triangle, it can be proven that two angles are acute using the properties of right-angled triangles.

1. Definition of a Right-Angled Triangle: - A right-angled triangle is a triangle in which one of the angles is a right angle, which measures 90 degrees.

2. Properties of Right-Angled Triangles: - In a right-angled triangle, the sum of the measures of the two acute angles is always 90 degrees. - The hypotenuse is the side opposite the right angle and is the longest side in a right-angled triangle.

3. Proof: - Let's assume we have a right-angled triangle ABC, where angle C is the right angle. - According to the properties of right-angled triangles, the sum of the measures of the two acute angles, angle A and angle B, is 90 degrees.

4. Conclusion: - Therefore, in a right-angled triangle, two angles are acute.