If we let a triangle ABC with angles A,B and C, and with opp. sides a,b, and c respectively, and let
a = b = 5 m and c = 8 m
Now, from the cosine rule,
c² = a² + b² - 2ab cos C,
solving for C,
C = arccos [(a² + b² - c²)/2ab]
We substitute values
C = arccos [-7/25]
C = 106 degrees 15 minutes 36.7369 seconds
^_^
2006-10-02 01:31:58
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answer #1
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answered by kevin! 5
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that triangle is a right angled triangle so the angle opposite the hypotenuse(the 8 metre line one) has to be 90 degrees. Since all the angles in a triangle add up to 180, then the other two angles have to add up to 90. So each of the other angles are 45.
2006-10-01 20:18:16
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answer #2
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answered by Anonymous
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It is a question of proportion.
Each metre of line represents a degree of angle in the triangle.
The internal angles of a triangle total 180 degrees.
Total length (perimeter) = 18 m.
Ist angle: 5/18 x 180 = 50 degrees.
2nd angle: 5/18 x 180 = 50 degrees.
3rd angle: 8/18 x 180 =80 degrees.
This is an isosceles triangle- 2 equal sides = 2 equal angles.
2006-10-01 20:28:54
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answer #3
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answered by springday 4
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From your Discription of the two sides is 5 Meters and the base is 8 meters
This is a isoscelis triangle
on your caculator
Use the Tan-¹
Since two sides are known
The tangent function is uses
5/5 = 1
Select 1 arc Tan-1 equals 45°
2006-10-02 13:17:12
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answer #4
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answered by SAMUEL D 7
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Two equal sides give you an isosceles triangle. The altitude of an isosceles triangle bisects the base of the triangle.The vertex angle will be defined by 2arcsin(4/5), and the two equal angles by (180-2arcsin(4/5))/2.
2006-10-01 20:19:24
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answer #5
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answered by Helmut 7
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on account that there's a hypotenuse, you recognize that's a perfect triangle. in case you recognize that, you recognize the third perspective. you have right here a seventy 4.40 9 - ninety - 15.fifty one triangle. you recognize that the perspective opposite the seventy 4.40 9 deg perspective is two.9 meters. you do no longer quite desire this data, yet we are able to apply the regulation of sines: (sin74.40 9)/2.9 = (sin90)/x resolve for x
2016-12-12 18:54:35
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answer #6
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answered by howsare 4
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Drop a bisector from the apex of the two 5m lines to the 8m base. Now you have two symmetric right triangles, so you can use trig.
2006-10-01 20:14:49
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answer #7
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answered by sheramcgyver 2
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