Question

The ABC toy company is creating two similar pieces for a board game as shown below .find the value of b that makes the two piece ? !!!!! Please ASAP

Answer 1

Given two similar triangles:

Triangle 1: LMN

3, 4, a

Triangle 2, OPQ

9, b, c

9 and 3 are similar sides, 4 and b are similar sides, a and c are similar sides. So, we can make equations based on the similarities:

9/4 = 3/b

b = 2.25

Answer 2

Answer: The value of b=12

Step-by-step explanation:

We know that if two triangles are similar then, the corresponding sides are proportional.

Thus, if ΔPQR is similar to ΔLMN, then

$\frac{QP}{LM}=\frac{PQ}{MN}=\frac{QO}{NL}\\\Rightarrow\frac{9}{3}=\frac{c}{a}=\frac{b}{4}$

Take $\frac{9}{3}=\frac{b}{4}\\\Rightarrow\ b=\frac{4\times9}{3}=12$

Hence, the value of b=12