Explicación paso a paso:
2. Calcula la diagonal de las siguientes figuras, señala si el valor obtenido es racional o irracional.
a)
Hallamos el diagonal:
(diagonal)² = a² + b²
(diagonal)² = 8² + 8²
(diagonal)² = 64 + 64
(diagonal)² = 128
(diagonal) = √128
(diagonal) = 64√2
b)
(diagonal)² = 3/2² + 9²
(diagonal)² = 9/4 + 81
(diagonal)² = 2,25 + 81
(diagonal)² = 83,25
(diagonal) = √83,25
c)
(diagonal)² = 12,6² + 16,8²
(diagonal)² = 158,76 + 282,24
(diagonal)² = 441
(diagonal) = √441
(diagonal) = 21
d)
(diagonal)² = 9² + 12²
(diagonal)² = 81 + 144
(diagonal)² = 225
(diagonal) = √225
(diagonal) = 15
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Explicación paso a paso:
2. Calcula la diagonal de las siguientes figuras, señala si el valor obtenido es racional o irracional.
a)
Hallamos el diagonal:
(diagonal)² = a² + b²
(diagonal)² = 8² + 8²
(diagonal)² = 64 + 64
(diagonal)² = 128
(diagonal) = √128
(diagonal) = 64√2
b)
Hallamos el diagonal:
(diagonal)² = a² + b²
(diagonal)² = 3/2² + 9²
(diagonal)² = 9/4 + 81
(diagonal)² = 2,25 + 81
(diagonal)² = 83,25
(diagonal) = √83,25
c)
(diagonal)² = a² + b²
(diagonal)² = 12,6² + 16,8²
(diagonal)² = 158,76 + 282,24
(diagonal)² = 441
(diagonal) = √441
(diagonal) = 21
d)
(diagonal)² = a² + b²
(diagonal)² = 9² + 12²
(diagonal)² = 81 + 144
(diagonal)² = 225
(diagonal) = √225
(diagonal) = 15