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;
![\frac{L}{l}=\frac{S}{s}](https://tex.z-dn.net/?f=%5Cfrac%7BL%7D%7Bl%7D%3D%5Cfrac%7BS%7D%7Bs%7D)
![\frac{10 cm}{25 cm}=\frac{8 cm}{s}](https://tex.z-dn.net/?f=%5Cfrac%7B10%20cm%7D%7B25%20cm%7D%3D%5Cfrac%7B8%20cm%7D%7Bs%7D)
![s=\frac{8cm\times 25 cm}{10 cm}=20 cm](https://tex.z-dn.net/?f=s%3D%5Cfrac%7B8cm%5Ctimes%2025%20cm%7D%7B10%20cm%7D%3D20%20cm)
The lengths of the other two sides should be 20 cm.