Question

Find thd length of the missing sides​

Answer 1

Answer:

x = 4$\sqrt{3}$ , y = 8$\sqrt{3}$

Step-by-step explanation:

The ratio of the sides of a 30- 60- 90 triangle are

x : x$\sqrt{3}$ : 2x

From the diagram

x$\sqrt{3}$ = 12 ( divide both sides by $\sqrt{3}$ )

x = $\frac{12}{\sqrt{3} }$ × $\frac{\sqrt{3} }{\sqrt{3} }$ ( rationalising the denominator )

  = $\frac{12\sqrt{3} }{3}$

x = 4$\sqrt{3}$

Then

y = 2x = 2 × 4$\sqrt{3}$ = 8$\sqrt{3}$

 

Answer 2

Answer:

y = 8 √3

x = 4 √3

Step-by-step explanation:

y sin 60 = 12

y (√3/2) = 12

y = 8√3

y cos 60 = x

(8√3) ÷2 = x

x = 4 √3