Question

Suppose right triangle ABC has one acute angle 47º. Suppose also that right triangle DEF has an acute angle 43º. How are triangles ABC and DEF related?

Answer 1

what do you think will be the value of the other acute angle in triangle ABC?

Answer 2

90

Answer 3

90 is the right-angle in triangle ABC. it also has one acute angle of 47. so what will be the value of the other acute angle?

acute angle is always less than 90.

Answer 4

43

Answer 5

correct - now what will be the value of the other acute angle in triangle DEF?

Answer 6

47

Answer 7

correct again.
so now you have shown that the angles in triangle ABC are: 90, 47, 43
and the angles in triangle DEF are: 90, 43, 47

so - how are they related?

Answer 8

They are congruent?

Answer 9

not necessarily

Answer 10

So then they would be similar because of the AAA postulate?