Respuesta :

Answer: Side lengths: 7.2, 7.2[tex]\sqrt{3}[/tex], 14.4

Step-by-step explanation:

Take sin of 60 to calculate side opposite to angle 60

sin 60=[tex]\frac{\sqrt{3} }{2}[/tex]

cos 60=1/2  

7.2 / 1/2=

7.2 * 2=14.4

[tex]\frac{\sqrt{3} }{2}[/tex]*14.4=

[tex]\frac{14.4\sqrt{3} }{2}[/tex]=7.2[tex]\sqrt{3}[/tex]

The hypotenuse:

[tex](\frac{\sqrt{3} }{2})^2[/tex]+(1/2)^2=

3/4 + 1/4 = 1

1 * 14.4 =14.4

Side lengths: 7.2, 7.2[tex]\sqrt{3}[/tex], 14.4

saya

Step-by-step explanation:

The 30-60-90 triangle is one of the most important trigonometry concept you will learn throughout your secondary schooling.

Attached below is a triangle that you should memorize for easy practice. The way this triangle is formed can be proven trigonometrically and/or with the unit circle, but that's not what this question is asking for.

When comparing the numbers on the attachment and your question, we can generate that the side 7.2=x, because the side with the 60 degree angle and right angle contains the variable x.

Since we have x now, all we would have to do is to plug in the x values and solve the question.

The hypotenuse (longest side of the triangle) = 2x = 2(7.2) = 14.4

The side opposite to the 60 degree angle (left most side)= [tex]x\sqrt{3}[/tex] = [tex]7.2\sqrt{3}[/tex] = 12.6

I hope this helped!

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