Question

unit 3 notes use ratios to solve for the missing sides what is the length of je? je = 4 what is the length of bc? 27 20 32

Explanation:

Step1: Identify similar - triangles

Assume the two triangles are similar, and the ratios of corresponding sides are equal.

Step2: Set up the ratio equation

For the first set of triangles with sides labeled: If we assume $\triangle{JEH}\sim\triangle{JAC}$, then $\frac{JE}{JA}=\frac{JH}{JC}$. Let's assume we know the values of $JA = 9$, $JH = 4$, and $JC = 12$. We want to find $JE$. The ratio equation is $\frac{JE}{9}=\frac{4}{12}$.

Step3: Solve the ratio equation

Cross - multiply: $12\times JE=9\times4$. So, $12\times JE = 36$. Then, $JE=\frac{36}{12}=3$.

Answer:

$JE = 3$