Question

В прямокутному трикутнику КLM кут М = 90°, кут L = 40° , а гіпотенуза -20 см. Знайдіть невідомі сторони та кути трикутника. ПОМОГИТЕ пожалуйста срочно нужно , и если можно то подробнее.

Answer 1

Ml=15,32

Mk=12,86

Объяснение:

Answer 2

Given Information:

- Triangle KLM is a right triangle, with angle M = 90° and angle L = 40°. - The length of the hypotenuse KL is 20 cm.

Finding Unknown Sides:

To find the unknown sides of the triangle, we can use trigonometric ratios. In a right triangle, the sine, cosine, and tangent ratios can be used to relate the angles and sides.

Let's denote the unknown sides as follows: - Side KL (hypotenuse) = 20 cm (given) - Side KM (adjacent to angle M) = x cm (unknown) - Side LM (opposite to angle M) = y cm (unknown)

Using the sine ratio, we can write: sin(L) = LM / KL Substituting the values, we get: sin(40°) = y / 20

Solving for y, we have: y = 20 * sin(40°)

Using the cosine ratio, we can write: cos(L) = KM / KL Substituting the values, we get: cos(40°) = x / 20

Solving for x, we have: x = 20 * cos(40°)

Finding Unknown Angle:

To find the unknown angle K, we can use the fact that the sum of the angles in a triangle is 180°. Since we know angle M and angle L, we can find angle K by subtracting the sum of the known angles from 180°.

Let's denote the unknown angle as follows: - Angle K = z° (unknown)

We have: Angle K = 180° - Angle M - Angle L Substituting the values, we get: z° = 180° - 90° - 40°

Simplifying, we find: z° = 50°

Summary:

Based on the given information, we have found the following: - Side KM (adjacent to angle M) = 20 * cos(40°) cm - Side LM (opposite to angle M) = 20 * sin(40°) cm - Angle K = 50°

Please note that the calculations provided are based on the given information and assumptions made.