Answer:
The length of line segment GF is 6.49 units.
Step-by-step explanation:
Given:
In Right angle Triangle Δ EFG,
∠ G = 90°
EF = 9.4 = Hypotenuse (say)
EG = 6.8 = Longer Leg (say)
To Find:
GF = Shorter Leg (say)?
Solution:
In Right angle Triangle Δ EFG By Pythagoras theorem we have,
[tex](\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}[/tex]
Substituting the given values we get
[tex]9.4^{2}= l(GF)^{2}+ 6.8^{2} \\\\l(GF)^{2}=9.4^{2}- 6.8^{2} \\\\l(GF)^{2} =42.12\\\\l(GF)=6.489\\\\\therefore l(GF)=6.49[/tex]
The length of line segment GF is 6.49 units.
