show that - 2, 3, 8, 3 and 6, 7 hour the vertices of a right Triangle
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let the points be A, B and C respectively..
by distance formula
AB=√[(8+2)²+(3-3)²]
=10 units
similarly,
BC= 2√5 units
AC= 4√5 units
AC²+BC²= 20+80
=100
and AB²=100
therefore A, B, C form a right angled triangle
forming a right angle at C
(inverse of Pythagoras theorem)
by distance formula
AB=√[(8+2)²+(3-3)²]
=10 units
similarly,
BC= 2√5 units
AC= 4√5 units
AC²+BC²= 20+80
=100
and AB²=100
therefore A, B, C form a right angled triangle
forming a right angle at C
(inverse of Pythagoras theorem)
surbhi31:
thanq so much
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