Blog 31: Angle Relationships
In my math class the angles we have gone over are alternate interior, parallel, congruent, and perpendicular angles. An example of alternate interior angle would be a line that intersects with two parallel lines. Parallel lines are just two lines that never meet or intersect. Congruent angles would just be angles with the same degrees in angles. Perpendicular lines are when two lines meet at a right angle.

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Blog 32: Angles in Triangles
The sum of all angles in a triangle have to equal 180 degrees, it doesn’t affect any triangle like for example a right triangle or obtuse because all triangles will always have the sum of 180.

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Blog 33: Triangle Inequality
A few thing you should notice when you have side lengths is that you have areas like small, big, and medium. You should know that they will not make a triangle either because it is too small or big. When you compare the squares like the ones below they will either be equal to each other, less than, or greater than each other.

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Blog 34: Triangle Side Lengths Patterns
If you look at the graphs below you can see the patter of how they double by itself like for example the 10,12,and 13 turns into 100,144, and 169. Now the obtuse angles will then be 3,6, and 8 turns into the 9,36, and 64. In the right triangle are 6,8, and 10 turns into 36, 64, and 100. So that way you can see how for example in the obtuse triangle the area with larger value has a large side length and the same for the acute triangle the areas are smaller compared to right triangle and obtuse triangle.

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Blog 35: Square Root

The definition of a square root, is when you find the half of the value from a number. When you estimate the square root of something you will then divide by using the symbol of square root.

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Blog 36: Pythagorean Theorem
The Pythagorean Theorem is used to help you find side lengths by multiplying two values by themselves, then when you get the number you will then square root, and then get the hypotenuse.

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