How do you find the measures of the angles of an isoscles triangle whose sides are 6,6,and 8?

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Answer 1 · 2018-04-02T21:12:15

48.2
48.2
83.6

Drop a perpendicular from the top of the triangle to create a right angled triangle with base 4 and hypotenuse 6.

Using trig ratio #cos (theta) = (adj)/(hyp)#

#cos (theta) = 4/6#

#theta = cos^(-1) (2/3)#

#theta = 48.1896851#

#theta = 48.2#

As the original triangle is isosceles, the second angle is 48.2 and the third one is 83.6