Question

Знайти катет якшо гіпотенуза і другий катет дорівеюють 25 см і 7 ​

Answer 1

Ответ:
пусть неизвестный катет = а, тогда
а²=25²-7²
а²=625-49
а²=576
а=24

Объяснение:

По теореме Пифагора квадрат гипотенузы равен сумме квадратов катетов, а также квадрат катета равен разности квадрата гипотенузы и квадрата другого катета.

Answer 2

Finding the Length of the Second Cathetus

To find the length of the second cathetus (the shorter side of a right-angled triangle) when the hypotenuse and the other cathetus are given, you 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, if the hypotenuse is 25 cm and the length of the second cathetus is 7 cm, we can find the length of the first cathetus using the Pythagorean theorem.

The formula for the Pythagorean theorem is: c^2 = a^2 + b^2

Where: - c is the length of the hypotenuse - a and b are the lengths of the other two sides (catheti)

Applying the Pythagorean Theorem

Using the given values: - Hypotenuse (c) = 25 cm - Second cathetus (b) = 7 cm

We can solve for the length of the first cathetus (a) using the Pythagorean theorem: 25^2 = a^2 + 7^2

Solving for a: 625 = a^2 + 49 a^2 = 625 - 49 a^2 = 576 a = √576 a = 24

So, the length of the first cathetus is 24 cm.

Therefore, if the hypotenuse is 25 cm and the length of the second cathetus is 7 cm, the length of the first cathetus is 24 cm.