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Amanda [17]
3 years ago
14

Find the length of line segment GF

Mathematics
1 answer:
ki77a [65]3 years ago
6 0

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,

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

Substituting the given values we get

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

The length of line segment GF  is 6.49 units.

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