Angle Relationships

So in math class we have learned about 6 different types of angles. One of them is a vertical angle which for me seems like one of the easiest to know. The second is corresponding, these angles are always on the same side of the transversal this angle is one that i find really easy. Then we did same side interior and exterior which are also always on the same side of the transversal. The last two are the alternate exterior and interior they are not in the same side of the transversal and they aren’t next to each other.

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Angles in a Triangle

Do you know what the sum of the angles of a triangle should equal? Well today in math class we were learning about triangles and it’s angles. We learned that a triangle no matter what kind should have all it’s angles equal 180°. So this means if a triangle doesn’t equal 180° then something is wrong with the angles. So if you have a right angle one angle should automatically equal 90°. That means the other two sides have to equal 90° when they are added.

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Triangle Inequality

One thing that i noticed from the combinations that did not form a triangle had one square that was way different in size. The numbers were completely separated. What I mean by completely separate numbers is that they were really far away from each other as to their amount.

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Triangle Side-Length Patterns
There are three different relationships that I noticed in today’s activity. If 3 squares have sides that make an acute triangle, the sum of the areas of the 2 small squares will be greater than the area of the large square. If 3 squares have sides that make an obtuse triangle, the sum of the areas of the 2 small squares will be less than the area of the large square. If 3 squares have sides that make a right triangle, the sum of the areas of the 2 small squares will be equal to the area of the large square.

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Square Roots
The square root of a number is when you are able to multiply a number times itself. You can estimate a square root by finding in between what other numbers square root that one is. For example the square root of 16 is 4 because 4 times 4 is 16. And if you have a number like 15 its square root wouldn’t be a whole number, it would have a decimal.

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Pythagorean Theorem
The pythagorean theorem can help find the missing side of a right triangle. They way it helps is because since you have two of the angles lengths all you have to do is multiply them by themselves add them and then whatever you get find the square root.

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