Find the measure of angle a, to the nearest hundredth

38.68

Step-by-step explanation:

Sin(A) = 5 / 8

5 / 8 = 0.625

Use Sin^-1

Approximately 38.68

Step-by-step explanation:

Left triangle: it has two congruent legs because has an angle of 45 degrees

AB = cm

the triangle on the the right is half on an equilateral one

BC = 12 cm

CH = 6√3 cm

AC= (6 + 6√3) cm

2p = 6 + 6√3 + 12 + 6√2 = 18 + 6√3 + 6√2 = 6(3 + √3 + √2) cm

Area = [6(1+√3)  * 6]/2 = 18(1+√3) cm^2