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Different possible sets of side lengths for triangle are shown in the image: For each set, determine if these sides give right; obtuse, acute triangle-or no triangl...

Question

Different possible sets of side lengths for triangle are shown in the image: For each set, determine if these sides give right; obtuse, acute triangle-or no triangle at alll Show the work that supports your answer: Note that it is definitely not necessary to draw ' each triangle to answer the questions (which is good, since some have sides that are hard to represent accurately wher drawingg(a) 23,24,25(b) 2V3,5,V13(c) 7,10,18

Different possible sets of side lengths for triangle are shown in the image: For each set, determine if these sides give right; obtuse, acute triangle-or no triangle at alll Show the work that supports your answer: Note that it is definitely not necessary to draw ' each triangle to answer the questions (which is good, since some have sides that are hard to represent accurately wher drawingg (a) 23,24,25 (b) 2V3,5,V13 (c) 7,10,18



Answers

For each set of numbers, tell whether the numbers represent the lengths of the sides of an acute triangle, a right triangle, an obtuse triangle, or no triangle. a $12,13,14$ b $11,5,18$ c $9,15,18$ d $\frac{1}{2}, 1 \frac{1}{5}, 1 \frac{3}{10}$

We are given some measurements of a triangle. We have to find the reminding measurements using low sites. So consider trying the abc that strikes the B. And C. Which is a spectacular opposite to the angles A. B. C. So we can write laws of science as by sign A. Equal to be by sign. Be equal to see by. Thank you. We have two angles and decide included between them. So we can find the third side see using their native minus uh that is 37 -7 which is 48. That is equal to 95°.. We got all the three hikers now we have to find the sides. And so we can use slow signs from Los Science weekend right side A core to see and do sign by sign. See It is equal to 18 and do signed 37 by sign 95. That is important to approximately 10 point nine meeting. So again for the side B people to see and do fine be by Science. See it is equal to 18 indu Sign 48 by sign 95, 13.4 Media. So these are the non sides. I think you were trying and you heard angle.

We have to determine the remaining measurements of the given triangle. So we have given the side A. And Angus BNC. We have to use low of science so we can write the Law of science for the stranglers. A bite sign of it will do B bye sign. Being equal to see by sign off six. No we first we can find the angry eh because the sum of angles of triangles connected. So a cold 1 19 minus B minus six B 52 sees 29. The key is 99 victories. Now we know this three angles and one side. So we can find the other two sides, B and C. So from Law of Science we can write the side equal to advice sign and sign the Which is equal to 43 in Susan with G to buy sign 99. That is it working 34.3 cm How to find the site C You can write using law of Sciences into sci fi by sign. That is equal to 43 into sign 99. No sees 29 by saying 99 Statistics were to 21.1 cm. So these are the unknown measurements of the given triangle.

We have to find the remind english elements of it. Given trying we help to angles on one side we have to use Law of Science. Solo of Science can be returned by science equal to be by sinus. Be equal to see you. Bye see. So we can find the third cycle at this I. V. 12 to 18 minus k minus is an 18 minus 15.5 -27.2 which is equality 37 They did this. And the two sides using law. Science can be written as a see by Science C. In the sign that is important too, 76 right? 27.2 by sign. 115.5 36. 38.5 feet. Similarly, the other side be equal to see by Science C. In the sign saying big. That is also 76 Sign 37.35 sign on my file That is equal to 51. Right, So this handy and non measurements given trend.

We have to find the unknown measurements of the given tranq. We have two angles on one side. We have to use law of science so we can write laws sciences by signing Well B bye sign B. Because see by science. So first we can find the third angle air using the sum of all language of trying to occurred to our native concept can be used and when a T minus I'm ready for my .1 -18.72 37.2 Invictus. Now we have to find the sites. And you think love Science. So we are in the law science side equal to be by Sandy in the same substituting the values 94.6. sign 57. Going to. Yeah. Yes but it's fine. Be 18 points seven gives 1 78.4 meet similarly for the site C You think a lot of science be bike silent and do sciences. That is equal to 24.6 in the sign 24.1 divided by 9 18 points 7 36 To 44.3 images. So these are the enormous shipments


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