What is the tan(x) for each triangle? **Question 11****What is the tan(x) for each triangle?** * [2 points]The image shows two right-angled triangles.**Triangle on the left:**- Angle $X$- Side $A$ (adjacent to angle $X$)- Side $B$ (opposite to angle $X$)- Hypotenuse $C$- Right angle ($90^\circ$)**Triangle on the right:**- Angle $X$- Side $D$ (adjacent to angle $X$)- Side $E$ (opposite to angle $X$)- Hypotenuse $F$- Right angle ($90^\circ$)**Explanation of `tan(x)`:**The tangent of an angle in a right triangle is the ratio of the length of the opposite side to the length of the adjacent side.\[ \tan(X) = \frac{\text{opposite side}}{\text{adjacent side}} \]For the triangle on the left:\[ \tan(X) = \frac{B}{A} \]For the triangle on the right:\[ \tan(X) = \frac{E}{D} \]To find the exact values of $ \tan(X) $ for each triangle, substitute the lengths of the sides into the respective formulas.

Answered: 11) What is the tan(x) for each…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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What is the tan(x) for each triangle?

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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