Question

1. An insect is crawling inside a circular field along its greatest length. Name the part of the circle along which the insect is crawling. lengst side of a right angled triangle inscribed in a circle whose​

Answer 1

Ответ:

The insect is crawling along the diameter of the circle.

The diameter is the longest straight line segment that passes through the center of a circle. It is the longest side of any right triangle inscribed in the circle.

To see why, consider any right triangle inscribed in a circle. The hypotenuse of the triangle must be a diameter of the circle, because it is the longest side of the triangle and it passes through the center of the circle.

Conversely, any diameter of a circle can be used as the hypotenuse of a right triangle inscribed in the circle.

Therefore, the insect is crawling along the diameter of the circle, because it is the longest side of the circle.

Here is a diagram:

[Diagram of a right triangle inscribed in a circle, with the hypotenuse (diameter) highlighted]

As for your question about the longest side of a right triangle inscribed in a circle, it is always the hypotenuse. This can be proven using the Pythagorean Theorem.