SOLUTION: the hypotenuse of a trianle is 25cm and its perpendicular distance is 7cm find the length of its base

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Question 480459: the hypotenuse of a trianle is 25cm and its perpendicular distance is 7cm find the length of its base

Answer by mathstutor494(120) About Me  (Show Source):
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Pythagorean Theorem -In a right angle triangle of lengths a and b (base and perpendicular or vice versa), and hypotenuse of length c is:
c2 = a2 + b2
So
25^2 = 7^2+ (base)^2
625 = 49 + base^2
Hence base^2 = 625-49
base = sqrt (576)
base = 24