Question

select the reason why these triangles are similar. if they are not, select
ot similar.\ image of two triangles with side lengths: yellow triangle has 9, 24, 21; orange triangle has 14, 16, 6 options: sss, sas, aa, not similar

Explanation:

Step1: Identify side lengths

Yellow triangle sides: 9, 21, 24.
Orange triangle sides: 6, 14, 16.

Step2: Check ratios

• \( \frac{9}{6} = \frac{3}{2} \)
• \( \frac{21}{14} = \frac{3}{2} \)
• \( \frac{24}{16} = \frac{3}{2} \)

All corresponding sides are proportional (ratio \( \frac{3}{2} \)). By SSS (Side - Side - Side) similarity criterion, triangles are similar.

Answer:

SSS