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Step-by-step explanation:
let ,
(b) shortest length of rt.triangle = x
so,
h = 10 +x
( p) third side = 4 cm
Than,
by the Pythagorean method,
H² = p² + b²
( 10 + x ) ² = 4² + x²
100 + 20x + x² = 16 + x²
20x = - 84
: x = 4.2 cm
Hence ,
H = 14.2 cm
b = 4.2 cm
p = 4 cm