Question

Знайти катет рівнобедреного трикутника,якщо його гіпотенуза √8 см

Answer 1

2 см

Решение смотри на фотографии

Answer 2

Finding the Length of the Leg of an Isosceles Triangle

To find the length of the leg of an isosceles triangle when the length of the hypotenuse is given, we can use the Pythagorean theorem. In an isosceles right-angled triangle, the two legs are equal in length. The Pythagorean theorem states that in a right-angled 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.

Calculation

Given that the length of the hypotenuse (c) is √8 cm, and the lengths of the two legs are equal (let's call them a), we can use the Pythagorean theorem to find the length of the leg.

The Pythagorean theorem is expressed as: c^2 = a^2 + b^2

In this case, since the triangle is isosceles, we have: c^2 = a^2 + a^2 8 = 2a^2

Solving for a: a^2 = 4 a = √4 a = 2

Therefore, the length of each leg of the isosceles triangle is 2 cm.