How many triangles can be made if two sides are 4 inches and the angle between them is 90°?

Solution:

Consider triangle ABC as a right isosceles triangle with an angle 90° and two sides 4 inches

So the triangles with the same measurement are congruent to triangle ABC by SAS congruence triangle.

The SAS postulate says that if two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Therefore, one triangle can be made for the given measurements.

How many triangles can be made if two sides are 4 inches and the angle between them is 90°?

Summary:

One triangle can be made if two sides are 4 inches and the angle between them is 90°.