Question

What type of triangle has a 45 degree angle and two sides 8 centimeters in length

Answer 1

• Right or acute triangle

-----------------------

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.