A geometry problem by A Former Brilliant Member
Geometry
Level
1
If an angle of a triangle remains unchanged but each of its two including sides is doubled, then the area becomes:
Remain the same
2 times
6 times
4 times
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1 solution
It is well known that,the area of a triangle is given by, 2 1 ∗ A B ∗ B C ∗ s i n ( B ) where AB and BC are its two side and B is their included angle.
Hence,if the sides are doubled each ,then the area is 4 times the original.