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Eight grades first volume Pythagorean theorem math problem! Urgent! ! ! !
The first question; From a+b=4, ab= 1.

Calculated a=2+√3? ,b=2-√3?

Because: Party A+Party B = Party C? (? Conforming to Pythagorean Theorem)

So what? Triangle ABC is a right triangle.

The second question? If the water depth is H, the red lotus height is h+ 1, and the wind blows down to be even, so the hypotenuse is the red lotus height. Derive from known conditions

(h+ 1) square =h square +4, and calculate h= 1.5.

The third question?

First, the side length of the unshaded square is 8? The method is:? 17 square-15 square =8 square.

Let the side length of two shadow squares be a? ,b

The small triangle in the middle is a right triangle, which can be calculated by Pythagorean theorem. A square +b square =8 square =64

However, the area of two shaded squares =a square +b square.

Therefore, the area of two shaded squares =64.