Know how to calculate the third hypotenuse of the two straight sides of a triangle

In a general triangle, the sum of any two sides is greater than the third side, and the difference between the two sides is less than the third side;

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of its two right sides.

Pythagorean Theorem The Pythagorean theorem, also known as the Pythagorean theorem, states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of its two right-angled sides.

When the triangle being sought is a right triangle, the Pythagorean theorem should be utilized. *a+*b=c*c is the square of a + the square of b c (c is the hypotenuse, and a, b are right-angled sides) When the triangle to be found is a general triangle, it should be used as the auxiliary line of the triangle and the height of each side!

According to the cosine theorem :

0 degrees, 30 degrees, 45 degrees, 60 degrees, 90 degrees.

sina 0 1 2 root number 2 2 root number 3 2 1cosa 1 root number 3 2 root number 2 1 2 0tana 0 root number 3 3 1 root number 3 No.

cota does not root number 3 1 root number 3 3 0

a2+b2=c2 (both 2 are squared).

a straight edge. b straight edge.

c. Hypotenuse.

Pythagorean theorem. The square of a + the square of b and the square of c (c is the hypotenuse, while a, b are the right-angled edge).

Solution: Let the two right-angled sides of the triangle be a and b, and the hypotenuse side is c, which can be obtained from the Pythagorean theorem

c is equal to the square of a plus the square of b, and then the sum is found as the arithmetic square root.

The main mistake in the above answer is that it is not clear that c is a positive value, so it is not completely correct!!

Pythagorean theorem. General triangles, using the cosine theorem.

According to the Pythagorean theorem, the sum of the squares of two right-angled sides is equal to the square of the hypotenuse.

So c = root number (a2+b2) a and b are two right-angled edges, respectively.

Pythagorean theorem: In a triangle with straight angles, the sum of the squares of the two right-angled sides = the square of the hypotenuse.

For example, A and B are right-angled edges, and C is hypotenuse.

The square of a + the square of b = the square of c.

Hypotenuse = (square of right-angled side 1 + square of right-angled side 2), c= a + b. For example, the two right-angled sides are 3 and 4 respectively; Then, hypotenuse penitential plum = (3 +4 ) = 25 = 5.

A hypotenuse is the longest side in a right triangle and the side that does not form a right angle. In the Pythagorean theorem, the hypotenuse is called a "string".

The hypotenuse is lateIn geometry, hypotenuse is the longest side of a right triangle, opposite to right angle. The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the hypotenuse length is equal to the sum of the squares of the lengths of the other two sides.

For example, if one of the sides has a length of 3 (squared, 9) and the other side has a length of 4 (squared, 16), then their squares add up to 25. The length of the hypotenuse is 25, which is 5.

The square of the two sides = the square of the hypotenuse.

Assuming that the two right angles are a and b respectively, and the hypotenuse is the cluster collapse c, then there is c = under the root number (the square of a + the square of b).

For example, the two right-angled sides of a right-angled triangle are 40, and the hypotenuse length is.

According to the Pythagorean theorem:

c^2=40^2+40^2=3200,c=√3200=40√2。

Pythagorean theorem: If the two right-angled sides are a and b respectively, and the hypotenuse is c, then: c 2 = a 2 + b 2.

The Pythagorean theorem is a fundamental geometric theorem that states that the sum of the squares of the two right-angled sides of a right-angled triangle is equal to the square of the hypotenuse. In ancient China, the right triangle was called the Pythagorean shape, and the smaller of the right-angled sides was the hook, the other long right-angled side was the strand, and the hypotenuse was the chord, so this theorem was called the Pythagorean theorem, and some people called the Shanggao theorem.

The Pythagorean theorem is a special case in the cosine theorem.

Theorem Usage: Solve the third side of a right triangle on both sides, or know the length of the three sides of a triangle to prove that the triangle is a right triangle or to prove that the two sides of the triangle are perpendicular to each other. Using the Pythagorean theorem to find the length of a line segment is the most basic application of the Pythagorean theorem.

Pythagorean theorem.

If the two right-angled sides are a and b respectively, the hypotenuse is c

c^2=a^2+b^2

Hypotenuse The sum of the squares of two right-angled sides.

If there is an angle of 30 or 60 degrees, the right angle is half of the hypotenuse.

It is necessary to pass the Pythagorean theorem.

In the case of knowing two right-angled edges.

Then the sum of the squares of the two right-angled sides, and then the square can be used to calculate the result.

a + b c is the sum of the squares of the two right-angled sides = the square of the hypotenuse. Hypotenuse = sum of two right-angled edges. For example, if two right-angled sides are 3 and 4 respectively, the hypotenuse is equal to the square of 3, 9 + 4, the square is 16 = 25, and the hypotenuse is = 25 and the square = 5.

Directly use the Pythagorean theorem.

1) The two sides of the known are right-angled sides, a, b

Then to the third side is the hypotenuse c, c= (a +b ).

2) If the two sides are a right-angled side, a, and the hypotenuse c, then the third side is the right-angled side b, and b= (c -a).

Hope it helps.