Diagonal

Determine the dimensions of the cuboid, if diagonal long 53 dm has an angle with one edge 42° and with another edge 64°.

Correct result:

a =  39.3867 dm
b =  23.2337 dm
c =  26.7934 dm

Solution:

u=53 dm A=42 B=64  a=u cosA=u cos42 =53 cos42 =53 0.743145=39.387=39.3867 dm
b=u cosB=u cos64 =53 cos64 =53 0.438371=23.234=23.2337 dm
u2=a2+b2=39.38672+23.2337245.7287 dm c=u2u22=53245.72872=26.7934 dm



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