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?

Question

anonymous · Answer

similar triangles?

ganeshie8 · Answer

$\triangle ABC \sim \triangle DEF$ why ?

campbell_st · Answer

use angle sum of a triangle to prove the triangles are similar by Angle Angle Postulate

P.S. always good to draw a picture

|dw:1364072080686:dw|

anonymous · Answer

Triangles ABC and DEF are similar by AAA, because they each have angles 90º, 43º, and 47º.

anonymous · Answer

correct r no?

anonymous · Answer

@campbell_st

campbell_st · Answer

thats correct... the angle x in triangle ABC is 43... by angle sum of a triangle.

the angle y in triangle is 47 by angle sum of a triangle... 

so they are similar by AA postulate.