Calculating lengths x plus y.
Calculating y.
y² = 2(10)²
y = √(2(10)²)
y = 10√(2) cm.
y = 14.1421356237 cm.
Calculating x.
sina = 12/20
a = asin(3/5)°
b = ½(a)
b = (0.5asin(3/5))°
Therefore, length x is;
sin(0.5asin(3/5)) = x/20
x = 20sin(0.5asin(3/5))
x = 6.3245553203 cm.
It implies;
x+y is;
= 6.3245553203+14.1421356237
= 20.466690944 cm.
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