giving that the area of triangle ABC is 4.5 M^2. a=4 b=3 find two possible measures for angle C

Question

giving that the area of triangle ABC is 4.5 M^2. a=4 b=3 find two possible measures for angle C.It would be grate to see steps since it will help with some other problems similar to it.Thank you.

Answer 1

Hey Ace,

So if two legs of this triangle are 3, and 4 then the third should be 5.

This is a special triangle (3,4,5) this triple is called Pythagorean triple.

now that we know it is a right triangle, we half way solve this!

so within this special triangle there is an angle 90 degrees and the other two must have 30, and 60 degrees

we know that a=4 , b=3, then c must be 5 (the hypotenuse)

so the angle that is 90 in triangle ABC is B

that leaves what for us?!!

30 or 60 !!

Hope that helps