A triangle has side length 6, 8, and 10. Is the triangle a right triangle? Explain.
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Set up a right triangle. the height is one side of triangle, its length is 400.
The angle opposite to the 400 is 14.3 degrees. The adjacent side is distance across, "x"
Use tangent ratio
The angle opposite to the 400 is 14.3 degrees. The adjacent side is distance across, "x"
Use tangent ratio
The distance formula is , where
and
are the points.
Substitute in the points.
Subtract.
Solve the exponents.
Add.
Now, we can simplify this square root just a little bit. has a square factor of
.
The square root of equals
.