Answer:
The length of the corresponding side is 2.5 cm
Step-by-step explanation:
∵ The 2 Δ are similar
∴ Their sides are proportional
∵ The area of first Δ 16 cm²
∵ The area of second Δ 25 cm²
∵ One side of first Δ 2 cm
∵ From similarity [tex](\frac{S1}{S2})^{2}=\frac{A1}{A2}[/tex]
∴ [tex](\frac{2}{S2})^{2}=\frac{16}{25}[/tex]
∴ [tex]\frac{2}{S2}=\sqrt{\frac{16}{25}}[/tex]
∴ [tex]\frac{2}{S2}=\frac{4}{5}[/tex]
∴ [tex]S2=\frac{(5)(2)}{4}=2.5[/tex] cm
