Question

В треугольнике МнП угол Н равен 90 градусам НО перпендикулярен МП угол П равен 60 градусам МН равен 62 см найти расстояние от вершины н до гипотенузы

Answer 1

Расстояние 31 см. Треугольник МНО прямоугольный, так как НО перпендикулярен МП. Угол М 30 градусов, а против угла в 30 градусов лежит катет который равен половине гипотенузы, отсюда НО=31см.

Answer 2

Given Information:

We are given the following information about a triangle MNP: - Angle N is 90 degrees. - Angle P is 60 degrees. - Side MN is 62 cm.

We need to find the distance from vertex N to the hypotenuse.

Solution:

To find the distance from vertex N to the hypotenuse, we can use trigonometric ratios in a right triangle.

Let's label the triangle as follows: - Side MN is the side opposite angle N. - Side NP is the hypotenuse. - Side MP is the side adjacent to angle N.

We can use the trigonometric ratio sine to find the distance from vertex N to the hypotenuse NP.

The sine of angle N is defined as the ratio of the length of the side opposite angle N (MN) to the length of the hypotenuse (NP).

So, we have: sin(N) = MN / NP

We know that angle N is 90 degrees and side MN is 62 cm. Let's substitute these values into the equation:

sin(90) = 62 / NP

Since the sine of 90 degrees is equal to 1, we can simplify the equation to:

1 = 62 / NP

To find NP, we can rearrange the equation:

NP = 62 / 1

Therefore, the distance from vertex N to the hypotenuse NP is 62 cm.

Answer:

The distance from vertex N to the hypotenuse NP is 62 cm.