Welcome :: Homework Help and Answers :: Mathskey.com
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,435 questions

17,804 answers

1,438 comments

774,852 users

Determine whether the given information results in one triangle, two triangles, or no triangle at all.

0 votes

Two sides and an angle are given. Determine whether the given information results in one triangle, two triangles, or no triangle at all. Solve any triangle(s) that results.

a = 3,    b = 2,     A = 50o

asked Nov 27, 2017 in PRECALCULUS by anonymous

1 Answer

0 votes

Applying sine rule in the given triangle:

a/sinA = b/sinB

sinB = b*sinA/a =2*sin50/3 =0.511

B1 = 30.73 ; B2 = 180 - 30.73 = 149.27 deg

Angle C1 = 180 - A- B1 = 99.27 deg

Angle C2 = 180 -A -B2 =- 19.27 deg

Not possibe

So only one triangle possible.

answered Dec 12, 2017 by johnkelly Apprentice
reshown Dec 12, 2017 by bradely

Related questions

...