I need a lot of help with this one! Thank you!
1 answer:
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Again, I've attached an image showing the 30-60-90 relationship for triangles. Hopefully this should help as we work through this problem.
For the side adjacent to the 30 degree angle, we know that the side length is . Let's take a look at the given options and see which ones fit.
The options that fit are and
.
For the side adjacent to the 60 degree angle, we know that the side length is just x. Let's take a look at the given options and see which ones fit.
The options that fit are x and 7.
Finally, the hypotenuse is the longest side of the triangle and its length is equal to 2x.
So, the options that fit are 2x and 14.
Hope this helps! :)
Answer:
x=7
Step-by-step explanation:
The two lines indicate that it is an isosceles triangle. This means that the bottom two angles and lengths are the same.
To work this out you would first minus 104 from 180, this gives you 76. Then you would multiply 25 by 2, which gives you 50. This is because the angles are the same. Then you would add 50 to 76, which gives you 126. Then you would multiply 9 by 2, which gives you 18. This is because it is an isosceles triangle and the bottom two sides are the same. Then you would divide 126 by 18, which gives you 7.
1) Minus 104 from 180.
2) Multiply 25 by 2.
3) Add 50 to 76.
4) Multiply 9 by 2.
5) Divide 126 by 18.
6)
<u>Answer Checking:</u>
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To check your answer you would work backwards. First you would multiply 7 by 18, which gives you 126. Then you would minus 50 from 126, which gives you 76. Then you would add 104 to 76, which gives you 180.
1) Multiply 7 by 18.
2) Minus 50 from 126.
3) Add 104 to 76.
<u>Because it is a triangle the internal angles all add up to 180. And so if your answer is 180 then the steps are correct.</u>