Geometry - Right Triangles

6 important questions on Geometry - Right Triangles

Explain the pythagorean theorem in your own words

When you have a right triangle, squaring each leg must be equal to the hypotenuse squared.
Say we have 2 legs, leg A and Leg B, and we have a hypotenuse called C.
Essentially A^2 + B^2 must equal C^2

Does the pythagorean theorem work for all triangles?

No, only for right triangles (triangles with a 90 degrees angle)

Does the pythagorean theorem work both ways (if the triangle is a right angle, the theorem works <--> if the theorem works, we must have a right (tri)angle)?

Yes, it works both ways.
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See  image for question, solve for c (note: the question looks the same as the previous one, but it is not.

C = V28  = 2V7

Given the following lengths of 2 legs in a right triangle, what is the value of the hypotenuse: {5, 12, hypotenuse}

13

If you have to solve for c in a^2 + b^2 = C^2, does it matter whether you add a and b together and then square the outcome versus squaring a and b individually?

It matters, 3^2 + 4^2 = 9 + 16 = 25.
Whereas (3+4)^2 = 7^2 = 49.

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