The sum of the two right sides of a right triangle is 6, and the area is 6

The sum of the two right sides of a right triangle is 6, and the area is 6


Let two right angle sides be x and Y respectively
Then: x + y = 6, xy = 6,
The required hypotenuse square = x square + y square = x square + 2XY + y square - 2XY = (x + y) square - 2XY = 6 square - 2 × 6 = 36-12 = 24
So bevel = 2 √ 6



If the hypotenuse of a right triangle is 2 larger than that of the right triangle, and the other right triangle is 6, then the length of the hypotenuse is 2______ .


Let the hypotenuse be x, then x2 = (X-2) 2 + 62 and the solution is x = 10



It is known that the median length of the hypotenuse of a right triangle with a circumference of 56 cm is 12.5 cm


Let one right side be x, then the other right side be 56-25-x = 31-x. according to the Pythagorean theorem, we get x2 + (31-x) 2 = 252, sort out, x2-31x + 168 = 0, solve X1 = 24, X2 = 7, ∵ 31-24 = 7, 31-7 = 24, ∵ two right sides are 7 and 24 respectively, then the area of the triangle is 12 × 7 × 24 = 84 (cm2) The area of this right triangle is 84cm2



A right triangle with 4.5 m bottom and 0.8 m height


35



The other day, I saw a questioner say: "given that the length of a right triangle is 1.5m, the degree of a corner is 15 ℃, how to find the hypotenuse?
The answers were wrong, and one after another seemed reasonable


The length of the right triangle is 1.5m and the degree of one angle is 15 degrees
If 1.5m is the diagonal of 15 °, then the hypotenuse = 1.5/sin15 °≈ 1.5/0.2588 = 5.8000 (m)
If 1.5m is the adjacent angle of 15 °, then the hypotenuse = 1.5/cos 15 °≈ 1.5/0.9659 = 1.5530 (m)



A right triangle knows that the bottom is 12 meters and the height is 6 meters. How to calculate the length of the hypotenuse?
12²+6²=144+36=180
Hypotenuse = radical 180 = 6 times radical 5
Square of a + square of B = square of C
Square of two right angle sides = hypotenuse
180 = 6 times root 5
180 * 5 or 180 / 5 or something
Is it less than 1 meter or square
180 = 6 times root 5


Is the root 180 = 6 times the root 5
6 times root 5 = 6 * 6 * 5 = root 180
The square of a radical that goes out into a radical



The height of a right triangle is 3 meters and the bottom is 1.56 meters. I want to find the length of the oblique side. Do you know how to calculate this formula


Pythagorean theorem formula: right angle side 1 & # 178; + right angle side 2 & # 178; = hypotenuse & # 178;
The hypotenuse = √ (3 & # 178; + 1.56 & # 178;)
About 3.38 (m)



Finding the length of oblique side of right triangle with known height and base
The height is 45cm and the bottom is 22cm. The calculation formula of the long right triangle with hypotenuse is completely forgotten


Pythagorean theorem under L = radical (45 ^ 2 + 22 ^ 2)



How to calculate the length of the bottom side of an isosceles right triangle
If you know that one side is 1 and the other side is 1, what is the length of the bottom side? What is the formula of this problem? Can you express it,
I haven't learned it. How can I know? But I want to learn it. By the way, I can work out the half square root,


You can use Pythagorean theorem, two squares add and then square, get root 2
You can also use trigonometric functions, sin45 degrees = 2 / 2 root
That is to say, the opposite side is larger than the hypotenuse, 1 / 2 root 2 = root 2
We can get the long root of hypotenuse 2



Right triangle, known base 1.1 meters, 3 meters, oblique side length


1.1 ^ 2 + 3.3 ^ 2 = L ^ 2; (L is oblique side length)
L=1.1√10.