Question

Периметр прямокутного трикутника становить 84 см, а його гіпотенуза дорівнює 37 см. Знайти сторони трикутника.​

Answer 1

Ответ:16,5 и 30,5

Объяснение:

составить систему и решить.

Answer 2

Finding the sides of a right-angled triangle

To find the sides of a right-angled triangle when given the perimeter and the length of the hypotenuse, we can use the following steps:

1. Let's assume that the two legs of the triangle are represented by variables a and b. 2. We know that the perimeter of a triangle is the sum of all its sides. In this case, the perimeter is given as 84 cm. So, we can write the equation: a + b + hypotenuse = 84. 3. We also know that the hypotenuse of the triangle is given as 37 cm. 4. Using the Pythagorean theorem, we can express the relationship between the sides of a right-angled triangle: a^2 + b^2 = hypotenuse^2. 5. Substituting the values we have, we get: a^2 + b^2 = 37^2.

Now, let's solve these equations to find the values of a and b.

To solve the equations, we can use the substitution method. Let's solve the first equation for a:

a = 84 - b - 37

Now, substitute this value of a into the second equation:

(84 - b - 37)^2 + b^2 = 37^2

Expanding and simplifying the equation, we get:

b^2 - 121b + 2500 = 0

Now, we can solve this quadratic equation to find the value of b.