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CBSE Class 10 Answered

In a quadrilateral PQRS, anglePQR=90deg., angle SPQ=90deg..If QR=5m.,PR=13cm.,PS=14cm,then find value of tan x [x=angle PSR]
Asked by riyagupta180999 | 14 Sep, 2015, 06:29: PM
answered-by-expert Expert Answer

 

The quadrilateral is a trapezium as shown above.

From PQR right angled triangle, we get PQ = 12 using pythagoras theorem.

A perpendicular is drawn from R to PS. The length of this perpendicular is equal to PQ= 12

The right angled triangle containing angle X, has base 14 - 5 = 9 

Hence tanx = perpendicular / base = 12 / 9 = 4 / 3

Answered by | 14 Sep, 2015, 07:04: PM

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