Question

Знайти катет прямокутного трикутника ,Якщо c=9 см ;a =5 см

Answer 1

Ответ:

c=9 cm; a=5 cm

c×a=45 cm

Объяснение:

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Answer 2

Finding the Length of the Other Leg of a Right Triangle

To find the length of the other leg (the cathetus) of a right triangle when one leg (cathetus) is 5 cm and the hypotenuse is 9 cm, we can use the Pythagorean theorem.

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.

So, for a right-angled triangle with sides of lengths a, b, and c (where c is the length of the hypotenuse), the theorem can be expressed as:

c^2 = a^2 + b^2

Given that c = 9 cm and a = 5 cm, we can solve for b using the Pythagorean theorem.

Calculating the Length of the Other Leg

Using the Pythagorean theorem, we can calculate the length of the other leg (b) as follows:

b = √(c^2 - a^2)

Substituting the given values: b = √(9^2 - 5^2) b = √(81 - 25) b = √56 b ≈ 7.48 cm

So, the length of the other leg (cathetus) of the right triangle is approximately 7.48 cm.

[[1]](https://library.sspu.edu.ua/wp-content/uploads/2021/11/appmo_117_2021.pdf)