Question

Найдтите катет в прямоугольного треугольника если гипатенуза равна 50м бальшой катет равен 4см 2 Найдите гипотенузу прямоугольного прямоугольника если катеты равны 12см и 4✓7смПожалуйста до завтра срочно надо надо дам 45 баллов​

Answer 1

1. катет находится по теореме Пифагора

$\sqrt{ {50}^{2} - {4}^{2} } = \sqrt{2 484} = 49.84$

2. гипотенуза находится по теореме Пифагора

$\sqrt{ {12}^{2} + {4 \sqrt{7} }^{2} } = \sqrt{256} = 16$

Answer 2

Finding the Length of a Leg in a Right Triangle

To find the length of a leg in a right triangle, you can use the Pythagorean theorem, which 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.

Let's solve the first problem:

Given: - Hypotenuse (c) = 50 m - One leg (a) = 4 cm

To find the other leg (b), we can use the Pythagorean theorem:

c^2 = a^2 + b^2

Substituting the given values:

50^2 = 4^2 + b^2

Simplifying the equation:

2500 = 16 + b^2

b^2 = 2484

Taking the square root of both sides:

b = √2484 ≈ 49.84 cm

Therefore, the length of the other leg in the right triangle is approximately 49.84 cm.

Finding the Length of the Hypotenuse in a Right Triangle

Let's solve the second problem:

Given: - One leg (a) = 12 cm - Other leg (b) = 4√7 cm

To find the length of the hypotenuse (c), we can again use the Pythagorean theorem:

c^2 = a^2 + b^2

Substituting the given values:

c^2 = 12^2 + (4√7)^2

Simplifying the equation:

c^2 = 144 + 16(7)

c^2 = 144 + 112

c^2 = 256

Taking the square root of both sides:

c = √256 = 16

Therefore, the length of the hypotenuse in the right triangle is 16 cm.

I hope this helps! Let me know if you have any further questions.