In RT △ ABC, if ∠ C = 90 ° and the height of the hypotenuse AB is h, then the relationship between the sum of two right angle sides a + B and the hypotenuse and the sum of its height C + H is a + B______ C + H (fill in ">", "=", "<")

In RT △ ABC, if ∠ C = 90 ° and the height of the hypotenuse AB is h, then the relationship between the sum of two right angle sides a + B and the hypotenuse and the sum of its height C + H is a + B______ C + H (fill in ">", "=", "<")

∵ (c + H) 2 - (a + b) 2 = (C2 + 2CH + H2) - (A2 + 2Ab + B2), and A2 + B2 = C2, 12ab = 12CH, ∵ (C2 + 2CH + H2) - (A2 + 2Ab + B2) = H2 > 0, ∵ a + B < C + H

If a.b.c. is the three sides of a right triangle, where C is the hypotenuse, what is the size relationship between a ^ 3 + B ^ 3 and C ^ 3

Any number of generations will do
The exam should be fast
Three, four, five
The hypotenuse must be bigger than the right angle
The n-th power of a plus the n-th power of B is less than the n-th power of C. (C is greater than or equal to 3)
Let's suppose a

As shown in the figure, there are four right triangles of the same size. The two right sides are a and B respectively, and the hypotenuse is C, forming a square
There are four right triangles of the same size. The two right sides are a and B, and the hypotenuse is C. they form a square, but there is a small square in the middle. Can you use the relationship between their areas to get the equation of a, B and C?

Let the two right sides of a right triangle be a and B, that is, 2Ab + (B-A) ^ 2 = C ^ 2, then a ^ 2 + B ^ 2 = C ^ 2 is simplified