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steposvetlana [31]
1 year ago
13

Use the given triangle to fill in the blank

Mathematics
2 answers:
nekit [7.7K]1 year ago
7 0

tanX is 12/5.

Given:

In a right triangle,

The length of the side <em>XY</em> = 13.

The length of the side <em>YZ</em> = 12.

The length of the side <em>XZ</em>= 5.

The objective is to find tan <em>X</em>.

In a right angled triangle the largest side is always hypotenuse.

Sinec tan <em>X</em> is required to solve, then, the side <em>YZ </em>is opposite side and the side <em>XZ</em> is adjacent side.

By the trigonometric ratios, the value of tan <em>X</em> can be calculated as,

\begin{gathered} \tan X=\frac{opposite}{adjacent} \\ =\frac{YZ}{XZ} \\ =\frac{12}{5} \end{gathered}

Hence, the value of tanX is 12/5.

babunello [35]1 year ago
3 0
The value of the tank is 12/5
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