Question

Triangles EFG and QRS are similar. The length of the sides of EFG are 144 cm, 128 cm and 112 cm. The length of the smallest side of QRS is 280 cm. What is the length of the longest side of QRS.

Answer 1

Answer:

According to me the answer is 360 cm.

But I am not sure.

Confirm it from someone.

Answer 2

⇒Triangles EFG and QRS are similar

so EF/QR = FG/RS = EG/QS

⇒The length of the sides of EFG are 144 cm, 128 cm and 112 cm.

here 112 is smallest side of triangle EFG  

⇒ Let smallest side of EFG  be EF so QR is also the smallest side of triangle QRS i.e QR = 280 cm & other sides be assumed "x" & "y"

⇒112/280 = 144/x = 128/y

⇒ 2/5 = 144/x = 128/y

⇒ taking first two, we got x = 360 cm

⇒ now taking first and third , we got y = 320 cm

⇒ So others two sides of triangle QRS are 320 cm & 360 cm

And length of the longest side of QRS is 360 cm.