Question

Знайдіть кути трикутника дві середні лінії якого рівні та перпендикулярні​

Answer 1

Finding the Angles of a Triangle with Equal and Perpendicular Medians

To find the angles of a triangle with equal and perpendicular medians, we can use the following approach:

1. Understanding the Properties of Medians in a Triangle 2. Finding the Angles of the Triangle

Understanding the Properties of Medians in a Triangle

In a triangle, the medians are the line segments joining each vertex to the midpoint of the opposite side. When the medians are equal and perpendicular, it implies that the triangle is an equilateral triangle. In an equilateral triangle, all sides are equal, and all angles are 60 degrees.

Finding the Angles of the Triangle

Since the medians are equal and perpendicular, the triangle is equilateral. Therefore, all the angles of the triangle are 60 degrees.

So, the angles of the triangle with equal and perpendicular medians are: - Angle 1: 60 degrees - Angle 2: 60 degrees - Angle 3: 60 degrees

This means that all the angles of the triangle are equal and measure 60 degrees.

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