Question

2.) Write down the ratio of the corresponding sides
for each pair of triangles and check that it is the
same.
B
80°
80°
4.5 cm
6 cm
6-75 cm
40°
60°
А
7 cm
60%
CX
Fig. 12.48
105 cm​

Answer 1

Answer:

Step-by-step explanation:

∠A ≅ ∠Z , ∠B ≅ ∠Y , ∠C ≅ ∠X ⇒ Δ ABC ~ ΔZYX (AAA similarity theorem), then, there must be $\frac{AB}{ZY}$ = $\frac{AC}{ZX}$ = $\frac{BC}{YX}$

Let check it.

$\frac{AB}{ZY}$ = $\frac{6}{9}$ = $\frac{2}{3}$

$\frac{AC}{ZX}$ = $\frac{7}{10.5}$ = $\frac{1}{1.5}$ = $\frac{2}{3}$

$\frac{BC}{YX}$ = $\frac{4.5}{6.75}$ = $\frac{1}{1.5}$ = $\frac{2}{3}$