Question

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

Answer 1

`Only\ one.\ Look\ at\ the\ picture.`

Answer 2

Answer: Only one.

Explanation:

Let Δ ABC be a right isosceles triangle with two sides are 4 inches and the angle between them is 90°.

Then all the triangles with same measurement will be congruent to Δ ABC by SAS congruency criteria .

Therefore, there is only one triangle possible for the given measurement.

• 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.