SOLUTION: Find all possible triangles with b=4, c=5 and angle B = 25 degrees. If no such triangle exists, explain why.

Question 239289: Find all possible triangles with b=4, c=5 and angle B = 25 degrees. If no such triangle exists, explain why.
Answer by Photonjohn(42) (Show Source): You can put this solution on YOUR website!
Use the law of cosigns
b^2 = a^2 + c^2 - 2acCosign(25)
You will find a quadratic equation exists with a= a negative and a positive number. The positive number is too large to make the triangle real, i.e. a is greater than the sum of b + c. therefore the triangle doesn't exist.

RELATED QUESTIONS
Find all possible triangles with side b= 25,side c = 30, and angle B= 25 using the Law of (answered by ortarico)

Two sides and an angle are given below. Determine whether the given information results... (answered by KMST)

Connet all the vertices with 2 colours, such that there exists no triangle with all 3... (answered by richard1234)

One angle measures 100 degrees and a different angle measures 80 degrees. A. No... (answered by jim_thompson5910)

if you are given an isosolese triangle with the angle 50 given for a , what are all the... (answered by bucky,Kalmetam)

Two sides and an angle are given below. Determine whether the given information results... (answered by Alan3354)

Two side and an angle are given. Determine whether the given information results in one... (answered by Edwin McCravy)

find all the angles of a triangle with the given information or answer "no triangle" and... (answered by Alan3354)

The following triangles, D ABC and D DEF, are congruent. Triangle A,B,C = BASE B,C=... (answered by viji)