Question

У прямокутному рівнобедреному трикутнику гіпотенуза дорівнює 4√2см.Знайдіть катет.

Answer 1

кут при основе равен 45 градус

чтоб найти катет надо синус кута45 умножить на гипотинузу

синус 45×4√2=√2÷2 ×4√2=4см

катет равен 4 см

Answer 2

Finding the Length of the Leg of a Right Isosceles Triangle

To find the length of the leg of a right isosceles triangle, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

In this case, we are given that the length of the hypotenuse (the longest side) is 4√2 cm. Let's assume that the length of each leg (the other two sides) is x cm.

According to the Pythagorean theorem, we have the following equation:

x^2 + x^2 = (4√2)^2

Simplifying the equation, we get:

2x^2 = 32

Dividing both sides of the equation by 2, we have:

x^2 = 16

Taking the square root of both sides, we find:

x = 4 cm

Therefore, the length of each leg of the right isosceles triangle is 4 cm.

Please let me know if you need any further clarification or assistance!