Mathematics, 12.04.2021 07:50, tryintopassenioryear
I need help ASAP due in an hour
If you write something out of this subject you will be reported, I am probaly not the the only person that needs help with this, thank you!
Explaining the converse of the Pythagorean Theorem.
The converse of the Pythagorean theorem states that if the three sides of a triangle work for the equation a^2 + b^2 = c^2,
Then the triangle is a right triangle. To prove this you can use what's called a proof by contradiction. That is, you can prove something is true because it cannot be false.
Start by assuming a triangle is not a right triangle in the sides work for the equation a^2 + b^2 = c^2, (here is the diagram of the triangle)
Keep this diagram window open as you work on the task in this section now create a right triangle with legs A and B. Call the hypotenuse n. (Here is a diagram of the triangle)
Keep this diagram window open as you work on the task in a section.
Part A:
Since triangle 2 is a right triangle, write an equation applying the Pythagorean Theorem to the triangle.
Part B:
Since the equations for both triangles have a^2 + b^2, you can think of the two equations for c^2 and n^2 as a system of equations. Substitute what a^2 + b^2 equals in the first equation for a^2 + b^2 in the second equation. After you substitute, what equation do you get?
Part C:
Now, take the square root of both sides of the equation from part B and write the resulting equation.
Part D:
Is there any way for this equation to be true? how?
Part E:
What does this show about the relationship between the two triangles?
Part F:
Does this mean that triangle 1 is a right triangle? why or why not?
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Answers: 1
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I need help ASAP due in an hour
If you write something out of this subject you will be reported, I...
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