Question

Calculator Which triangles could not be similar to triangle ABC? 15 cm A A e Select each correct answer. 225 cm Bom 17 cm M 65 255 on 12 cm 37 pm WDCG 77 cm H 60.cm P 138 en cra 11 63 cm 32 cm L​

Answer 1

The triangles that could not be similar to triangle ABC include the following:

A. triangle MNO.

B. triangle DEF.

In Geometry, two triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Additionally, the lengths of corresponding side lengths are proportional to the lengths of corresponding altitudes when two triangles are similar.

Based on the side, angle, side (SSS) similarity postulate, we can logically deduce the following proportional side lengths to triangles ABC;

AB/BC = GH/HI = JK/KL

12/5 = 6/2.5 = 36/15

2.4 = 2.4 = 2.4

For triangle MNO, we have:

MN/NO = 35/12 ≠ 2.4

For triangle DEF, we have:

DE/EF = 8/6 ≠ 2.4