The sides of two triangles are 6, 9, 12 inches and 2.5, 3.75, and 5 inches respectively. are the triangles similar ? explain your reasoning.

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

now, we can find each ratios and check whether they are equal

we can see that

all values are equal and same

so, the ratio of their sides are equal

Hence , triangles must be similar

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;

⇒

by definition of similar, we have;

the given triangles are similar.

= 5

step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

= (- 3 × 15 ) + 50 = - 45 + 50 = 5