Question

1.Are the following triangles similar? Justify your answer

Answer 1

Triangles are similar when their corresponding sides are in constant ratio

is 12/36 = 8/24 ?

Answer 2

yeah but you cant find the ratio of the third side
would that make this triangle not similar

Answer 3

the third side can be found with Pythagorus

Answer 4

another test for similarity is if the angles in the triangle are all equal,

in this example , one angle is common, and both triangles have a right angle,

we know that the remaining θ must be 180°-90°-common angle
which will be the same

Answer 5

I know both triangles have right angles.. but what other angle do they have in common?

Answer 6

\[\phi\]