Answer:
The lengths of the other two sides should be 20 cm.
Step-by-step explanation:
Dimensions of the emblem triangle = 8,8 and 10
Longest side of the emblem ,L= 10 cm
Length of the longest side mark wants for his emblem , l= 25cm
One of the length of other side of an emblem = S = 8 cm
One of the length of other side of an emblem Mark making = s
The triangle of original emblem and emblem made by Mark will be similar , So;
[tex]\frac{L}{l}=\frac{S}{s}[/tex]
[tex]\frac{10 cm}{25 cm}=\frac{8 cm}{s}[/tex]
[tex]s=\frac{8cm\times 25 cm}{10 cm}=20 cm[/tex]
The lengths of the other two sides should be 20 cm.