Question

Знайдіть гіпотенузу прямокутного трикутника, катети якого дорівнюють 5 см і 12 см.​

Answer 1

Ответ:

13 см.

Объяснение:

а=5,  в=12, с - ?

За теоремою Піфагора

с=√(а²+в²)=√(25+144)=√169=13 см.

Answer 2

Finding the Hypotenuse of a Right Triangle

To find the hypotenuse of a right 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 have a right triangle with two known side lengths: one side is 5 cm and the other side is 12 cm. Let's label the hypotenuse as 'c' and the two legs as 'a' and 'b'. According to the Pythagorean theorem, we have the equation:

c^2 = a^2 + b^2

Substituting the given values, we have:

c^2 = 5^2 + 12^2

Simplifying the equation:

c^2 = 25 + 144

c^2 = 169

Taking the square root of both sides to solve for 'c', we get:

c = √169

Calculating the square root of 169, we find that:

c = 13

Therefore, the hypotenuse of the right triangle with side lengths of 5 cm and 12 cm is 13 cm.