Question

Are the triangles similar? explain. please help

Answer 1

The triangles are similar.

Explanation:

The reason for this is because they both share two pairs of angles that are the same: 40 degrees and 60 degrees. If these are equal, then that must mean the third angle for both triangles is also the same, making both triangles equal in proportion. Therefore, they must be similar.

Answer 2

Yes

Explanation:

(i) By AA similarity

• Both have two equal angles, 40° and 60°, therefore they can be defined as similar by AA similarity

(ii) By SSS similarity

• AB/DC = 32/40 = 4/5
• BC/EF = 24/30 = 4/5
• AC/DF = 36/45 = 4/5
• As the ratio of the sides of both triangles are equal, they are defined as similar by SSS similarity