A,BandParethethreenon-collinearpointsonaplane.ThedistancebetweenthepointAand Pis2mmorethanthedistancebetweenthepointsBandP.IfthedistancebetweenpointsAand B is 10m and AB is the longest side of the triangle ABC. Is ABC a right angled triangle or not, APandBP.
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Step-by-step explanation:
AP = BP + 2
AP is longest side => hypotenuse
AB = 10 m
if ABP is a right angled triangle than
AP² = AB² + BP²
=> (BP + 2)² = 10² + BP²
=> BP² + 4 + 4BP = 100 + BP²
=> 4BP = 96
=> BP = 24
AP = 26
Yes ABP is a right angled triangle
with AP = 26 m & BP = 24 m
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