Using it's formula, it is found that the tangent of F is given by:
<h3>How to find the tangent of an angle?</h3>
- In a right triangle, the tangent of an angle is given by the length of the opposite leg divided by the length of the adjacent leg.
Researching the problem in the internet, it is found that for the <em>right triangle</em> in this problem:
- The length of the opposite leg to angle F is of 6.
- The length of the adjacent leg to angle F is of x.
- The length of the hypotenuse is of 11.
Applying the Pythagorean Theorem, we have that:




Considering that the tangent is the length of the opposite leg divided by the length of the adjacent leg, we have that:

To learn more about tangent, you can take a look at brainly.com/question/24680641
Answer:
HL
SAS
SSS
Step-by-step explanation:
Since these are right triangles, and you have the two hypotenuses are congruent to each other and two legs that are also congruent to each other, then HL can be applied.
For HA to work we must have been given something else about one of those angle (besides the 90 degree one).
Since you have two corresponding sides that are congruent, then the 90 degree angles in both are congruent, and then the sides right after that 90 degree angle are also congruent to each other, so SAS can be applied.
We can't use AAS. We only know something about one angle per each triangle due to the markers.
LA? Needed another angle besides the 90 degree one.
All three corresponding sides are congruent. The markers tell us this. So we can apply SSS.
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