In the adjoining figure, PRST is a parallelogram and PT is the median of triangle PQR. Prove that, Area of triangle PQT = Area of triangle STR.

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in triangle PQR,

PQ=PR [Given]

= angle PRQ=angle PQR[angle opposite to the equal sides are equal](1)

since ST|| QR and PQ is a transversal,then

angle PQR = angle PST (corresponding angles)(2)

since PQ || QR and PR is a transversal,then

angle PRQ=angle PST (corresponding angles)(3)

but angle PQR = angle PRQ , then from (2) and (3) we get

angle PST = angle PTS

In triangle PST

angle PST = angle PTS (proved)

So, PT = PS (sides opposite to equal angles are equal)

Or in shorter terms,

In traingle PSR And PTS

PQ=PR (given)

RS=PT (given)

Angle A is common

So,traingles are congruent(SAS) .

So corresponding sides QT=RS

it is a bolivia your welcome

jupiter is mainly composed of hydrogen and helium just like a star. spectral analysis of jupiter has revealed that in addition to hydrogen and helium, the planet is made of water, methane and ammonia. those elements are in trace amounts. the core of the planet is thought to contain some rock and metallic hydrogen. i hope this will give you the answer to your question! : d