Question

What is the length of side EF in the triangle? Please give a step by step explanation, I'm having lots of trouble finding the solution. Thank you!

Answer 1

EF = 8.8 cm

Explanation:

In the given right angled ΔDEF, DE is the hypotenuse while EF and DF are adjacent sides. So that applying the Pythagoras theorem, we have;

`/hyp/^(2)` =
`/adj1/^(2)` +
`/adj2/^(2)`

`/DE/^(2)` =
`/EF/^(2)` +
`/DF/^(2)`

`/16.2/^(2)` =
`/EF/^(2)` +
`/13.6/^(2)`

262.44 =
`/EF/^(2)` + 184.96

`/EF/^(2)` = 262.44 - 184.96

= 77.48

EF =
`√(77.48)`

= 8.8023

EF = 8.8 cm

The length of side EF is 8.8 cm.