SOLUTION: Two Sides of a triangle are AB=34cm and AC=25cm and their included angle measures 62 degrees 1 Find the area 2 Find the measure of the third side BC 3 Find the Acute angle that

Algebra ->  Triangles -> SOLUTION: Two Sides of a triangle are AB=34cm and AC=25cm and their included angle measures 62 degrees 1 Find the area 2 Find the measure of the third side BC 3 Find the Acute angle that       Log On


   

Question 1090412: Two Sides of a triangle are AB=34cm and AC=25cm and their included angle measures 62 degrees
1 Find the area
2 Find the measure of the third side BC
3 Find the Acute angle that the median drawn to AB makes with it
4. An angle bisector bisecting B divides the opposite side AC into 2 segments. Find the lengths of these 2 segments.
5 Find the distance from the orthocenter to side AB
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A=%281%2F2%29%28AB%29%28AC%29sin%2862%29=%281%2F2%29%2834%29%2825%29%280.8829%29=375.2cm%5E2
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Use the law of cosines,
BC%5E2=AB%5E2%2BAC%5E2-2%28AB%29%28AC%29cos%2862%29
BC%5E2=34%5E2%2B25%5E2-2%2834%29%2825%29%280.4695%29
BC%5E2=982.85
BC=31.35
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I think you're looking for H.
Use the law of cosines, like above, to solve for Y.
Then use law of sines to solve for H.
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