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Please find the value of each variable HELPPPP

Please find the value of each variable HELPPPP-example-1
User Cryss
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Hello!

It looks like we only have one angle measurement and one side measurement.

But this is not true!

You'll notice, by the square, this is a right triangle!

Right triangles have a 90 degree angle.

That means we have two angle measurements!

But now what?

If we add them together, we'll get a number we can subtract from 180 (the total degree measure of any triangle).

180-120 =60

That means the last angle is 60 degrees!

Now we have all three angles.

But what about the sides?

We have enough information to figure out the sides.

I will use geogebra to make the nine-unit line, and create an angle by making two points, one ninety degrees clockwise, and the other sixty. Then, I used the line tool to extend the lines and marked the points of intersections with the intersect tool. Everything checks out, the angles are correct! FInally, I use a measure tool to measure the segments created by intersections that make the triangle. (NOTE THAT THE TRIANGLE WAS FLIPPED WHEN I MAPPED IT)

y = (rounded up) 16, look a diagram

x = 18

I can check it using the Pythagoreas theorem!

9^2+16^2

81 + 256= 337

The square root of 337 is about 18!

Because this is not totally exact, be sure to use a formula to get the true answer!

Please find the value of each variable HELPPPP-example-1
User Jskunkle
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7.5k points