Question

Знайдіть другий катет прямокутного трикутника, якщо гіпотенуза 15см, а один з катетів 12 см.​

Answer 1

Ответ:

9 см

Пошаговое объяснение:

По теореме Пифагора квадрат второго катета

15*15-12*12=(15+12)(15-12)=27*3=81=9*9

Зачит второй катет=9 см

Answer 2

Finding the Second Cathetus of a Right-Angled Triangle

To find the second cathetus of a right-angled triangle when the hypotenuse and one cathetus are known, we can use the Pythagorean theorem, which states that in a right-angled 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.

Pythagorean Theorem: For a right-angled triangle with sides of length a, b, and c (where c is the hypotenuse), the theorem can be expressed as: c^2 = a^2 + b^2

Calculation

Given: - Hypotenuse (c) = 15 cm - One cathetus (a) = 12 cm

We can use the Pythagorean theorem to find the length of the second cathetus (b): b^2 = c^2 - a^2 b^2 = 15^2 - 12^2 b^2 = 225 - 144 b^2 = 81

Taking the square root of both sides: b = √81 b = 9

Answer

The length of the second cathetus of the right-angled triangle is 9 cm.