Only c and 90 degree angles are given, how do I get the rest?

Hello, I'm currently studying for a math test on the Pythagorean theorem that I'm writing tomorrow. I'm currently studying with a few online tests. However, I'm running into a problem where I'm supposed to calculate the area of ​​many different quadrilaterals (pictured), but I've only been given the 90-degree angle and c=2cm. Could someone help me? I really don't know how to calculate this and haven't found anything.

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evtldocha
10 months ago

You don’t have to count much, but look at the figure from the outside to the inside: The areas of 2 green squares always yield one of the red (according to the phrase of Pythagoras). Each 2 red squares give a violet square (thus 4 green are one of the violet squares). The two violet squares are as large as the large green square after the set of Pythagoras. So the total area of all green squares is twice as large as the green square at the bottom and thus

LeroyJenkins87
10 months ago

The small green areas are always the areas over two cats, which together is the area above their hypotenuse. If you play through the logical, you get to a very simple solution.

LeroyJenkins87
10 months ago
Reply to  Irgendwer911

You don’t have to. Everything can be reduced to the output triangle.

LeroyJenkins87
10 months ago

You don’t have to use the formula computationally, but think logically.

LeroyJenkins87
10 months ago

then write in here the statement of the phrase of Pythagoras you have before you

LeroyJenkins87
10 months ago

With what the phrase of Pythagoras says. How is the relationship between the area above the hypotenuse to the areas above the catthet?