# Ratio iso triangle

The ratio of the sides of an isosceles triangle is 7:6:7 Find the base angle to the nearest answer correct to 3 significant figure.

Result

A =  64.623 °

#### Solution:

$a=6/2=3 \ \\ b=7 \ \\ A=\dfrac{ 180^\circ }{ \pi } \cdot \arccos(\dfrac{ a }{ b } )=\dfrac{ 180^\circ }{ \pi } \cdot \arccos(\dfrac{ 3 }{ 7 } ) \doteq 64.6231 \doteq 64.623 ^\circ \doteq 64^\circ 37'23"$

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