To find the missing lengths MB and BN, we can use the Pythagorean theorem in triangle MBC.
MC = 27 cm, BC = 8 cm, and CN = 5 cm.
First, we can find the length of MB:MB^2 = MC^2 - BC^2MB^2 = 27^2 - 8^2MB^2 = 729 - 64MB^2 = 665MB = √665MB ≈ 25.79 cm
Next, we can find the length of BN:BN^2 = BC^2 - CN^2BN^2 = 8^2 - 5^2BN^2 = 64 - 25BN^2 = 39BN = √39BN ≈ 6.24 cm
Therefore, the length of MB is approximately 25.79 cm and the length of BN is approximately 6.24 cm.
To find the missing lengths MB and BN, we can use the Pythagorean theorem in triangle MBC.
MC = 27 cm, BC = 8 cm, and CN = 5 cm.
First, we can find the length of MB:
MB^2 = MC^2 - BC^2
MB^2 = 27^2 - 8^2
MB^2 = 729 - 64
MB^2 = 665
MB = √665
MB ≈ 25.79 cm
Next, we can find the length of BN:
BN^2 = BC^2 - CN^2
BN^2 = 8^2 - 5^2
BN^2 = 64 - 25
BN^2 = 39
BN = √39
BN ≈ 6.24 cm
Therefore, the length of MB is approximately 25.79 cm and the length of BN is approximately 6.24 cm.