Question

How many triangles are there that satisfy the conditions a =13, b =9, A = 62°?

Answer 1

The guy is right, it's B 1 Triangle

Explanation:

Answer 2

Explanation:

Alright, lets get started.

Using sin Law,

`(sinA)/(a)=(sinB)/(b)`

Plugging the value of a, b and angle A

`(sin62)/(13)=(sinB)/(9)`

`sinB=(9*sin62)/(13)`

`sinB=(9*0.8829)/(13)`

`sinB=0.61127`

taking sin inverse on both sides

`B=sin^(-1)(0.61127) =37.68`

The may be another value of B that will called B' =
`180-37.68=142.32`

We will not consider this B' value because the um of angle B' and A will exceeds 180 degree (
`142.32+62=204.32`)

Thats why only one triangle is possible. : Answer

Hope it will help :)