Respuesta :
Answer:
As the ratios are different hence the two triangles are not similar.
Step-by-step explanation:
The side lengths ratios of one triangle are given as:
30-60-90
i.e. the sides are of length: 30x,60x,90x for some real number 'x'
and the side length ratio of the other triangle is given as:
45-45-90
i.e. the sides of the second triangle is given by:
45y,45y,90y for some real number 'y'.
" If all the sides of a triangle are proportional to the corresponding sides of another triangle then the triangles are said to be similar "
Now we check the ratio as:
- [tex]\dfrac{30x}{45y}=\dfrac{2x}{3y}[/tex]
- [tex]\dfrac{60x}{45y}=\dfrac{4x}{3y}[/tex]
- [tex]\dfrac{90x}{90y}=\dfrac{x}{y}[/tex]
As the 3 ratios are not equal hence the two triangles are not similar.
