Isosceles triangle 8

If the rate of the sides an isosceles triangle is 7:6:7, find the base angle correct to the nearest degree.

Result

B =  65 °

Solution:

a=7 b=6  cosB=b/2:a  B=180πarccos(b/2a)=180πarccos(6/27)64.6231=65=643723"a = 7 \ \\ b = 6 \ \\ \ \\ \cos B = b/2 : a \ \\ \ \\ B = \dfrac{ 180^\circ }{ \pi } \cdot \arccos (\dfrac{ b/2 }{ a } ) = \dfrac{ 180^\circ }{ \pi } \cdot \arccos (\dfrac{ 6/2 }{ 7 } ) \doteq 64.6231 = 65 ^\circ = 64^\circ 37'23"

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See also our right triangle calculator. See also our trigonometric triangle calculator.

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