The ratio of the three sides of a right triangle with an angle of 45 degrees As the title

The ratio of the three sides of a right triangle with an angle of 45 degrees As the title

"Com30060": Hello
A right triangle with an angle of 45 degrees is an isosceles right triangle, which means that its other acute angle is also
At 45 degrees, two right angles are equal to each other. If the length of the right angle side is 1, the length of the slanted side is √ 2
So the ratio of the three sides is 1:1: √ 2
Are you right? Good bye
This "√" sign is called the root sign

The relationship between three sides of a 45 ° isosceles right triangle and a right triangle with an angle of 30 ° has three sides It's not Pythagorean theorem, it's like the length of the hypotenuse is x / X of the right angle side

The hypotenuse of an isosceles right triangle is √ 2 times of the two right sides, or √ 2 / 2 times of the hypotenuse
Or right angle side: right angle side: bevel side = 1:1: √ 2
For a 30 ° right triangle, the longer right angle side is √ 3 times of the shorter right angle side, the oblique side is twice as much as the shorter right angle side, and is √ 3 / 2 times of the longer right angle side
Or shorter right angle side: longer right angle side: bevel side = 1: √ 3:2.:

A right triangle has an angle of 45 degrees. This triangle must be an isosceles right triangle, right

yes.
A right triangle has an angle of 45 degrees, which must be an isosceles right triangle

Given that the hypotenuse is 67cm, one angle is 45 degrees and the other is 90 degrees. What is the height of this right triangle?

The height corresponding to the bottom of straight edge: 67sin45 ° = 67 * 0.7 = 47.37
The height corresponding to the bottom of the slope: 47.37 * sin45 ° = 33.16

Two right triangles with an acute angle and an equal right angle are congruent

A: No, because two right triangles with equal acute angles are similar, and another right angle side is equal, but not necessarily the corresponding right angle side. For example, the triangle with side length of 3, 4, 5 and 4, 16 / 3, 20 / 3 are not equal, but one acute angle is equal to the right angle side

Determine the congruence of two right triangles with an acute angle and an edge equal to each other

If we think about LZ and LZ, they are not equal to each other

An acute angle corresponds to two right triangles congruent with the opposite side of the acute angle, An acute angle and the opposite side of the acute angle correspond to two congruent right triangles An acute angle and a right angle adjacent to an acute angle correspond to two congruent right triangles

In other words, if a pair of acute angles are equal, the opposite sides of the acute angles are also equal (a group of edges are equal), and it is a right triangle (a pair of right angles are equal), which conforms to the triangle congruence theorem: angle, angle and side (AAS), so these two right angle triangles are congruent

The conditions for determining the congruence of two right triangles are as follows: (1) one acute angle is equal to one side; (2) both sides are equal; (3) two acute angles are equal______ .

∵ (1) an acute angle corresponds to one side,
The congruence of two right triangles can be determined by AAS or ASA,
(2) If both sides are equal, HL or ASA can be used to determine the congruence of two right triangles;
(3) Two acute angles are equal to each other without the condition that the corresponding edges are equal,
Therefore, it is impossible to determine the congruence of two right triangles
Therefore (1) and (2)

In a right triangle, one of the acute angles is known to be 45 ° and how many degrees is the other? What triangle is it?

Another acute angle is: 90 ° - 45 ° = 45 °,
45°=45°，
So this triangle is also an isosceles triangle
A: another acute angle is 45 degrees, and this triangle is isosceles triangle

In a right triangle, one acute angle is 45 degrees less than the other

Select C, because the sum of the two acute angles of the right triangle is 90 ° and the smaller acute angle is 22.5 ° and the larger acute angle is 67.5 ° and 67.5-22.5 = 50 °