Question

Один из катетов на 2 см больше другого, найти катеты если гипотенуза равна 12 см

Answer 1

Пусть х см одна сторона катета, тогда 2x - другая сторона катета. 
Известно что гипотенуза равна 12 см. составим и решим уравнение. 
х+2х=12
3х=12
х=12/3
х=4 см- одна сторона катета. 
4*2=8 см - другая сторона катета
Думаю то что смогла помочь) 

Answer 2

Calculating the Catheti of a Right-Angled Triangle

To find the lengths of the catheti (the two shorter sides) of a right-angled triangle when the hypotenuse is known, we can use the Pythagorean theorem, which 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.

The formula for the Pythagorean theorem is: $$a^{2}+b^{2}=c^{2}$$ Where: - \(a\) and \(b\) are the lengths of the catheti - \(c\) is the length of the hypotenuse

Given that the hypotenuse (\(c\)) is 12 cm, we can use the Pythagorean theorem to find the lengths of the catheti.

Calculating the Lengths of the Catheti

Using the Pythagorean theorem, we can calculate the lengths of the catheti as follows: $$a^{2}+b^{2}=c^{2}$$ $$a^{2}+b^{2}=12^{2}$$ $$a^{2}+b^{2}=144$$

From the search results, we can see that the length of the hypotenuse (\(c\)) is 12 cm Using this information, we can calculate the lengths of the catheti using the Pythagorean theorem.

Therefore, the lengths of the catheti can be calculated using the equation: $$a^{2}+b^{2}=144$$

By solving for \(a\) and \(b\), we can find the lengths of the catheti.