Question

Катет равен 30,гипотенуза 50, найти катет

Answer 1

Если треугольник прямоугольный, то по теореме Пифагора второй катет равен
√50²-30²=

=√1600=

=40

Ответ: второй катет равен 40

Answer 2

Квадрат гипотенузы равен сумме квадратов катетов. Пусть неизвестный катет - х, тогда:
50²=30²+х²
2500=900+х²
х²=2500-900
х=40

Answer 3

To find the length of the second cathetus (let's call it 'x'), we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (h) is equal to the sum of the squares of the two catheti (a and b).

The formula is: h^2 = a^2 + b^2

Given that one cathetus (a) is 30 and the hypotenuse (h) is 50, we can substitute these values into the formula:

50^2 = 30^2 + x^2

Now, let's solve for x:

2500 = 900 + x^2

To isolate x^2, subtract 900 from both sides:

x^2 = 2500 - 900 x^2 = 1600

Finally, take the square root of both sides to find the value of x:

x = √1600 x = 40

So, the length of the second cathetus is 40 units.