abyrg96 abyrg96

07-05-2021
Mathematics

contestada

Solve for y
A) 6
B) 6 sqrt 3
C) 4
D) 4 sqrt 3

Solve for y A 6 B 6 sqrt 3 C 4 D 4 sqrt 3 class=

Respuesta :

clarch19 clarch19

08-05-2021

Answer:

A) 6

Step-by-step explanation:

in a 30-60-90° Δ the ratio of side lengths is 1 : [tex]\sqrt{3}[/tex] : 2

so we can set up this proportion and cross-multiply:

[tex]\sqrt{3}[/tex] / 1 = y / 2[tex]\sqrt{3}[/tex]

y = 2[tex]\sqrt{3}[/tex][tex]\sqrt{3}[/tex] which is 2x3 or 6

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