In a right angled triangle , the hypotenuse is 2cm longer than the perpendicular which is 2 cm longer than the base. Calculate the length
of the base
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Answered by
5
Answer:
Length of Base = 6 cm
Step-by-step explanation:
Let say Length of Base = B cm
Perpendicular is 2 cm longer than the base.
=> Perpendicular = B + 2 cm
hypotenuse is 2cm longer than the perpendicular
=> hypotenuse = B + 2 + 2 = B + 4 Cm
In a right angle triangle
hypotenuse² = Base² + Length²
=> (B + 4)² = B² + (B + 2)²
=> B² + 16 + 8B = B² + B² + 4 + 4B
=> B² - 4B - 12 = 0
=> B² - 6B + 2B - 12 = 0
=> B(B - 6) + 2(B - 6) = 0
=> (B + 2) (B - 6) = 0
=> B = 6 B = -2 not possible
Length of Base = 6 cm
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0
Answer:
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