Question

Find the altitude corresponding to side EF, if ar(∆ ABC) = ar(∆ DEF). If AB = 8 cm and altitude corresponding to AB is 5 cm, EF = 10 cm. *​

Answer 1

Answer:

Length of BC = 6.4 (cm)

Explanation:

1. In  

 AB= 8 (cm)

 Let BC = x (cm)

 Altitude on AB  

 Altitude on BC  

2. Area of triangle  

 So

Area of triangle       ...1)

3. Equation 1) can also be written as

 

   

 On  solving

 

4. Where x is value of side BC. So BC is 6.4 (cm)