Start by identifying the hypotenuse of the right triangle. Then find the sides that are opposite and adjacent to x.
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Practice makes perfect
For the given right triangle, we want to write the ratio for the tangent of x. Let's start by identifying the hypotenuse of the triangle and the sides that are opposite and adjacent to x.
We see that the length of the hypotenuse is 13. The length of the side adjacent to x is 12 and the length of the side opposite to x is 5. With this information, we can find the desired ratio. Recall how we calculate the tangent ratio.
tan x = Length of leg opposite tox/Length of leg adjacent tox
Now, we can substitute our values to the above formula to find tanx.
