The value of 'a' closest to hundredths is 41.41
A triangle could also be a polygon with three sides and three angles. The three sides for a triangle DEF shown above, written symbolically as △DEF, are line segments DE, EF, and DF
If three sides of a triangle are adequate to three sides of another triangle, then the triangles are congruent. (2) If three angles of a triangle are respectively adequate to three angles of another triangle, then the 2 triangles are congruent.
Since this is often a right triangle, we'll use trig functions:
cos theta = adjacent / hypotenuse;
cos a=FD/DE;
cos a=45/60.
Taking the inverse of each side:
cos-1(cos a) =cos-1(3/4);
a=41.40962211.
After Rounding to the closest hundredth:
The value of a is 41.41.
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