Question

(Please help!!)

Triangle LMN is similar to triangle PQR. The length of PQ is twice the length of LM.


If the tangent of angle L is 9/19, what is the tangent of angle P?

A. 18/19

B. 28/19

C. 19/9

D. 9/19

Answer 1

The correct option is D.

Explanation:

It is given that Triangle LMN is similar to triangle PQR.

If two triangles are similar, then the corresponding angles are equal and the corresponding sides are proportional.

By the definition of similar triangles, in triangle LMN and PQR,

`\angle L=\angle P`

`\angle M=\angle Q`

`\angle N=\angle R`

It is given that the tangent of angle L is
`(9)/(19)`.

`\tan L=(9)/(19)`

`\tan P=(9)/(19)`
`[\because \angle L=\angle P]`

Therefore option D is correct.