Q39. Show that in a right angled trinagle the hypotenuse is the longest side.
040. ABCD is a quadrilateral in which P, Q, R and S are mid points of the sides AB, BC, CD,
And DA. AC is a diagonal. Show that
1) SR II AC and SR = AC
ii) PQ = SR
iii) PQRS is a parallelogram
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Step-by-step explanation:
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Step-by-step explanation: Given:In quadrilateral ABCD
P,Q,R,S are mid point of sides AB,BC,CD and DA respectively
T.P: 1 2 3
In triangle ADC,
SR is a line segment joining the mid point of DA and DC respectively
:. SR||AC ( mid point therom)
In triangle BAC
PQ is a line segment joining the mid point of BA and BC respectively.
PQ||AC (mid point therom)
pQ = half of AC
From 1 &2
SR=PQ
SR ||PQ
:. PQRS is a ||gram
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