Given the length of a right angle triangle 1, the angle between the right triangle and the hypotenuse is 30 ° and find the length of the 30 ° diagonal right angle side? The known right angle side length, for example, is 10!

Given that a right angle side is a, then the hypotenuse = A / cos30
Right angle side to which 30 degrees are opposite = A / cos30 × sin30 = √ 3 / 3A
Or we can directly find the right angle side of 30 degrees = a × tan30 = √ 3 / 3a
If the length is 10, you can replace a = 10

In two right triangles, if one diagonal (not right angle) is equal and one pair of sides is equal, then two right triangles are________ ? In two right triangles, if one diagonal (not right angle) is equal and one pair of sides is equal, then two right triangles are（ A. It must be equal B. It's not always the same C. May be equal D. None of the above What? Why? Why? Why? Why?

Choose C, choose a right triangle 345, and multiply the other by 1.25 at the same time, that is 3.7556.25, a hypotenuse 5 and a right angle side 5 are equal, but two triangles are not congruent. Two sets of corresponding angles and a set of corresponding opposite sides of two triangles are congruent. It is not right to have less correspondence

The short side of a right triangle is 15. The short side is 30 degrees diagonally?

15*1.732=25.98

In a right triangle, the length of a right angle side is 30, and the sine value of the diagonal of this side is 15 / 17. Find the perimeter and area of the triangle

30÷15/17＝34
So the other right angle side = √ (34 ^ 2-30 ^ 2) = 16
So perimeter = 16 + 30 + 34 = 80
Area = 1 / 2 * 16 * 30 = 240

In a right triangle, if the length of a right angle side is equal to half of the length of the hypotenuse, then the angle of the right angle is 30 degrees

Take the midpoint of the beveled edge to make the center line on the bevel edge
Theorem: the center line on the hypotenuse of a right triangle is half of the hypotenuse!
In this way, the three line segments "equal to half the length of the hypotenuse" and "the center line of the hypotenuse" and "half of the hypotenuse" constitute an equilateral triangle, that is, there is an angle of 60 degrees in the right triangle
that
If the length of a right angle side is equal to half of the length of the hypotenuse, then the angle of the right angle side is 30 degrees

In a right triangle, an angle equals 60 ° and an angle equals 30 ° what is their side length ratio

If a = 30 ° and B = 60 °, then C = 180 ° - A-B = 90 °,
According to the sine theorem:
a：b：c=sinA：sinB：sinC=1/2：v3/2：1=1：v3：2.

In a right triangle, if there is an acute angle of 30 degrees and the sum of the hypotenuse and the smaller right angle is 18cm, find the length of the hypotenuse

The opposite side of 30 degrees is half of the hypotenuse, 18 / 3 = 6 6 * 2 = 12

In a right triangle, if an acute angle is 30 degrees and the difference between the hypotenuse and the smaller right angle is 18 cm, how long is the hypotenuse

Let the smallest right angle side be X,
Because of the right angle, the smaller angle is 30 degrees
So the hypotenuse is 2x
So 2x-x = 18
x=18
So 2x = 36
So the bevel is 36cm

A right triangle, know the length of the hypotenuse and two acute angle degrees, how to find the length of two right angle sides

In fact, know the length of beveled edge and an acute angle
Let the hypotenuse be C and one acute angle be a,
Then a = C * Sina, B = C * cosa, or B = √ (C? - a?)

In a right triangle, we know that the hypotenuse is 100 and an acute angle is 45 degrees. How to find the length of the adjacent edge of this acute angle If we use positive trigonometric function, we can't use Pythagorean theorem

There are two ways
The first kind: because it is a right angle, and one angle is 45 degrees, the Pythagorean theorem shows that the sum of squares of two right angle sides (both sides are equal) is equal to the square of 100, and the length is 5 root sign 2
The second one is cosine theorem, where the adjacent edge is equal to the cosine of the angle between the hypotenuse and the adjacent edge (let the angle be a), i.e. 100cosa is equal to 5 root sign 2

Given the length of a right angle triangle 1, the angle between the right triangle and the hypotenuse is 30 ° and find the length of the 30 ° diagonal right angle side? The known right angle side length, for example, is 10!