laylaaruizz laylaaruizz

02-03-2021
Mathematics

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What is the value of w?

What is the value of w class=

Respuesta :

clarch19 clarch19

02-03-2021

Answer:

14

Step-by-step explanation:

this is a 30-60-90° Δ and the sides, respectively, have the ratio of 1 : [tex]\sqrt{3}[/tex] : 2

we can set up a proportion and cross-multiply based on that ratio:

w / 7[tex]\sqrt{3}[/tex] = 2 / [tex]\sqrt{3}[/tex]

[tex]\sqrt{3}[/tex]w = 14[tex]\sqrt{3}[/tex]

w = 14

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