Question

Построить прямоугольный треугольник по катету и прилежащему к нему острому углу

Answer 1

Черчекшь катет(линию, например  8 см) и перпендиклярно ему линию, чтобы получился прямой угол. осавшиеся "концы" этих линий соединяешь,это будет гипотенуза, а остальные стороны катеты. а углы эти,соответственно находятся между катетом и гопотенузой, также и с другой стороны

Answer 2

Building a Right-Angled Triangle

To build a right-angled triangle, you can use the following steps:

1. Select the Length of the Legs: Let's assume the length of the two legs of the right-angled triangle are represented by \(a\) and \(b\), where \(a\) is the length of the leg adjacent to the right angle and \(b\) is the length of the other leg.

2. Determine the Hypotenuse: The length of the hypotenuse (\(c\)) can be calculated using the Pythagorean theorem, which states that \(c^2 = a^2 + b^2\).

3. Construct the Triangle: Once you have the lengths of the legs and the hypotenuse, you can use these measurements to construct the right-angled triangle.

Example

Let's consider an example where the length of the leg adjacent to the right angle (\(a\)) is 5 units and the length of the other leg (\(b\)) is 7 units.

Using the Pythagorean theorem, we can calculate the length of the hypotenuse (\(c\)): \[c^2 = a^2 + b^2\] \[c^2 = 5^2 + 7^2\] \[c^2 = 25 + 49\] \[c^2 = 74\] \[c \approx \sqrt{74}\]

Therefore, the length of the hypotenuse (\(c\)) is approximately equal to the square root of 74.

You can use these measurements to construct the right-angled triangle with the given lengths of the legs and the hypotenuse.

I hope this helps! If you have further questions or need additional assistance, feel free to ask.