Question

Find tan in the triangle ​

Answer 1

35/12

Explanation:

The tangent in a triangle is always the opposite side divided by the adjacent side. In this triangle, BC is the side opposite to angle a, and AC is the side adjacent to angle A.

However, we do not know what AC is, but we can use the pythagorean theorem to solve.
`37^2-35^2=144\\\\`, which is 12 squared. Therefore, AC is 12 units in length.

Now we have all the sides of the triangle and we can divide the opposite side by the adjacent side. We get 35/12.

Hope this helps!