Respuesta :
Answer:
Triangles must be similar
Step-by-step explanation:
We are given two triangles
First triangle:
sides are 6 , 9 , 12
Second triangle:
2.5, 3.75 , 5
We know that if two triangles are similar , then their ratio of sides must be equal
so, we will find ratio of side of each corresponding sides
and then we check whether they are equal
we get
[tex]\frac{6}{2.5}=\frac{9}{3.75}=\frac{12}{5}[/tex]
now, we can find each ratios and check whether they are equal
[tex]2.4=2.4=2.4[/tex]
we can see that
all values are equal and same
so, the ratio of their sides are equal
Hence , triangles must be similar
Answer:
Yes, the triangles are similar because the ratio of the length of corresponding sides are equal
Step-by-step explanation:
If the two figures have same shape, they are called similar.
When two figure are similar , then the ratio of the length of their corresponding sides are equal.
Given: the sides of two triangles are 6, 9, 12 inches and 2.5, 3.75 and 5 inches.
then;
[tex]\frac{6}{2.5} =2.4[/tex]
[tex]\frac{9}{3.75} =2.4[/tex]
[tex]\frac{12}{5} =2.4[/tex]
⇒[tex]\frac{6}{9}=\frac{9}{3.75}=\frac{12}{5}[/tex]
by definition of similar, we have;
the given triangles are similar.
