zoedeweese
Answered

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Find the length of a leg.

Options:
1.) 128
2.) 8sqrt2
3.) 2sqrt2
4.) 16​

Find The Length Of A LegOptions 1 1282 8sqrt23 2sqrt24 16 class=

Sagot :

olumideolawoyin

Answer:

2.) 8sqrt2

Step-by-step explanation:

The leg is the opposite sides of the right-angled triangle reference to the angle 44⁰.

Using Trigonometric ratio:

sin 45⁰ = length of the leg / 16

length of the leg = 16sin45⁰

length of the leg = 16/√2 By Rationalizing

length of the leg = (16√2) / 2

length of the leg = 8√2

gesu7777

h=x[tex]\sqrt{2}[/tex]

16=x[tex]\sqrt{2}[/tex]

x= 16 / [tex]\sqrt{2}[/tex]   lets multiple it by [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex] to simplify it, so we get

x= [tex]\frac{16\sqrt{2} }{2}[/tex]

x=8[tex]\sqrt{2}[/tex]

Answer is 2) 8[tex]\sqrt{2}[/tex]

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