An isosceles right angle triangle has area 8cm square. The length of its hypotenuse is :
a) square root 32cm
b) square root 16cm
c) square root 48cm
d) square root 24cm
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Answer:
a) √32
Step-by-step explanation:
area = ½ × base × height = 8 cm²
since base and height are equal,
½ × base² = 8 cm²
=> base² = 16 cm²
=> base = 4 cm
hypotenuse² = base² + height ² (base = height)
=> hypotenuse² = 4² + 4² = 32
=> hypotenuse = √32
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