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4 years ago

Find the length of line segment GF

Mathematics

1 answer:

ki77a [65]4 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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