Answer:
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It is an isosceles triangle if two sides are same.
There are two possible triangles with given values.
Triangle 1
If the 45° is between the two 8 cm sides, then as the isosceles triangle the other two angles have the measure:
- (180 - 45)/2 = 135/2 = 67.5
So this is an acute triangle.
Triangle 2
If the 45° angle is opposite to 8 cm side, then the other 8 cm side also has same opposite angle measure.
Then the third angle is:
- 180 - 2(45) = 180 - 90 = 90
It means it is a right triangle.