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Verified answer
8.)AC² = BC² - AB²
AC² = (15 cm)² - (9 cm)²
AC² = 225 cm² - 81 cm²
AC² = 144 cm²
AC = √(144 cm²)
AC = 12 cm
L = 1/2 × a × t
L = 1/2 × AB × AC
L = 1/2 × 9 cm × 12 cm
L = 54 cm²
9.)
(17x)² - (8x)² = (30 cm)²
289x² - 64x² = 900 cm²
225x² = 900 cm²
x² = 900 cm² ÷ 225
x² = 4 cm²
x = √(4 cm²)
x = 2 cm
L = 1/2 × a × t
L = 1/2 × 30 cm × 8x
L = 1/2 × 30 cm × 8(2 cm)
L = 1/2 × 30 cm × 16 cm
L = 240 cm²
10.)
KL² = KM² - LM²
KL² = (17 cm)² - (8 cm)²
KL² = 289 cm² - 64 cm²
KL² = 225 cm²
KL = √(225 cm²)
KL = 15 cm
NL² = MN² - LM²
NL² = (10 cm)² - (8 cm)²
NL² = 100 cm² - 64 cm²
NL² = 36 cm²
NL = √(36 cm²)
NL = 6 cm
KN = KL - NL
KN = 15 cm - 6 cm
KN = 9 cm