Ke Shawn is placing a right triangle in the coordinate plane. He knows that the longer leg is twice the length of the shorter le
g. He places the longer leg on the x-axis.
What coordinates should he assign to the third vertex of the triangle?
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What coordinates should he assign to the third vertex of the triangle?
Enter your answer in the boxes.
1 answer:
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Okay, here we have this:
Considering the provided figure and information, we are going to calculate the requested measure, so we obtain the following:
We can see that the triangle is a right triangle, so we can use the trigonometric ratios.
So, we know an angle, the hypotenuse of the triangle and we want to find its opposite leg, therefore the trigonometric ratio that we must use is the sine since it relates these three measures, and we obtain:
Now, let's solve for h:
Finally we obtain that the correct answer is the third option.