Question

Triangle ABC is similar to triangle PQR, as shown below:

Answer 1

Answer:

Step-by-step explanation:q/b=r/c

Answer 2

Answer:

$\frac{q}{b}=\frac{r}{c}$

Step-by-step explanation:

Consider the options for this question are as follow,

• $\frac{q}{c}=\frac{r}{b}$

• $\frac{c}{p}=\frac{b}{a}$

• $\frac{c}{a}=\frac{q}{r}$

• $\frac{q}{b}=\frac{r}{c}$

Here, In triangles ABC and PQR,

AB = c, BC = a, AC = b, PQ = r, QR = p and PR = q,

Since,

$\traingle ABC\sim \triangle PQR$

We know that,

The corresponding sides of similar triangles are in same proportion,

Thus,

$\frac{AB}{PQ}=\frac{BC}{QR}=\frac{AC}{PR}$

$\frac{c}{r}=\frac{a}{p}=\frac{b}{q}$

$\frac{r}{c}=\frac{p}{a}=\frac{q}{b}$

$\implies \frac{q}{b}=\frac{r}{c}$