calculate x in the following figure. Do it in the process. Don't give the direct answer.
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Length of x = AD - AB
Assume the Δ ACD
The length of AD = z
12² + z² = 20² (Pythagoras Theorem)
144 + z² = 400
z² = 400 - 144
z² = 256
z = 16
Hence the length of AD = 16 cm
Assume the ΔACB
AB = y
12² + y² = 15² (Pythagoras Theorem)
144 + y² = 225
y² = 225 - 144
y² = 81
y = 9
Hence AB = 9 cm
x = AD - AB
= 16 cm - 9 cm
= 7 cm
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