Question

part b
find and record the lengths of the sides in △abc and △def. then calculate the ratio of each pair of corresponding sides.
a < 2 < ≡ ≡ ≡ ≡ ≡
b i u x³ x₂ 12pt <
pair ratio
ab to de
bc to ef
ca to fd
side length
ab 2.24
bc 3.16
ca 5
side length
de 3.35
ef 4.74
fd 7.5

Explanation:

Step1: Calculate ratio of \(AB\) to \(DE\)

\(\frac{AB}{DE}=\frac{2.24}{3.35}\approx0.67\)

Step2: Calculate ratio of \(BC\) to \(EF\)

\(\frac{BC}{EF}=\frac{3.16}{4.74}\approx0.67\)

Step3: Calculate ratio of \(CA\) to \(FD\)

\(\frac{CA}{FD}=\frac{5}{7.5}\approx0.67\)

Answer:

The lengths of sides in \(\triangle ABC\): \(AB = 2.24\), \(BC = 3.16\), \(CA = 5\). The lengths of sides in \(\triangle DEF\): \(DE = 3.35\), \(EF = 4.74\), \(FD = 7.5\). The ratios are \(\frac{AB}{DE}\approx0.67\), \(\frac{BC}{EF}\approx0.67\), \(\frac{CA}{FD}\approx0.67\)