How many triangles can be drawn having its angle as 30 degree 60 degree and 90 degree?
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very angle created in triangle
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Answer: Infinite
Step-by-step explanation:
Angle sum property of triangle : Sum of all the interior angles must be 180°.
Given angles : 30º, 60º and 90º
Sum of the angles : 30º+ 60º + 90º= 180°
It means, a triangle is possible with the given measurement.
Since , we have given only angles for triangle but not any side [which is needed to show congruence or uniqueness].
It means there are infinite triangles are possible with this measurement and all are similar by AAA similarity criteria.
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