Find n (write in simplest radical form)
1 answer:
This is a special right triangle called a 30-60-90 triangle. It has a special property the relates the ratio of side lengths. That ratio is 1:
:2
What does this mean? If you know the shortest side of a 30-60-90 triangle, you can find the longer leg by multiplying it by, and you can find the hypotenuse by multiplying the short leg by 2.
In the picture, note that the short leg of the triangle has a length of 9. Therefore, the long leg(or n) is simply 9
What does this mean? If you know the shortest side of a 30-60-90 triangle, you can find the longer leg by multiplying it by
In the picture, note that the short leg of the triangle has a length of 9. Therefore, the long leg(or n) is simply 9
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Equation for Perimeter of a rectangle: Perimeter = 2W + 2L
<h3>Defining the variables, let</h3>
<h3>Width = x</h3><h3>Length = 2x+3 (3 more than twice the width)</h3>
<h3>Plugging everything into the equation</h3>
<h3>30= 2(x) + 2(2x+3) using the distributive property,</h3><h3>30=2x+4x+6 combining like terms</h3><h3>30=6x+6 subtracting 6 from both sides,</h3><h3>24=6x divide both sides by 6</h3><h3>4=x This means that the width is 4 m.</h3><h3>To get the length, use the expression L=2x+3 and plug in x = 4 that was already solved for</h3><h3>L=2(4)+3</h3><h3>L=8+3 = 11 m</h3>
<h3>So the dimensions of the rectangle are width is 4 m and length is 11 m.</h3>