Mark wants to cut a triangular patch to make an emblem. The pattern for

the emblem is a triangle with sides 8, 8, and 10 centimeters long. If Mark

wants to make the longest side of the emblem 25 centimeters, how long

should the other two sides be?

Respuesta :

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.