SOLUTION: Find the angle between the two sides of length 13 in an isosceles triangle that has one side of length 8 and two sides of length 13

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Question 439418: Find the angle between the two sides of length 13 in an isosceles triangle that has one side of length 8 and two sides of length 13
Answer by Gogonati(855) About Me  (Show Source):
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The bisector of a vertical angle on isosceles triangle is a perpendicular bisector. Let x degree the vertical angel ( The angel opposite the base)
The bisector divide isosceles triangle in two equal right triangles, solving one of them we have:
sin%28x%2F2%29=4%2F13 or sin^-1(4/13)=18, therefore x/2=18 => x=36 degree.
Answer:The vertical angel is approximately 36 degree.