Find the unknown length in the following figures:
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(i) Here, P = 15 cm, B = 8 cm and H = x cm
By Pythagoras theorem,
H² = B² + P²
x² = 8² + 15²
x² = 64 + 225
x² = 289
x = √289
∴ x = 17 cm
(ii) Here, P = x cm, B = 4 cm and H = 5 cm
By Pythagoras theorem,
H² = B² + P²
∴ P² = H² - B²
x² = 5² - 4²
x² = 25 - 16
x² = 9
x = √9
∴ x = 3 cm
(iii) Here, P = 7 cm, B = 24 cm and H = x cm
By Pythagoras theorem,
H² = B² + P²
x² = 24² + 7²
x² = 576 + 49
x² = 625
x = √625
∴ x = 25 cm
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