abdubasheer
abdubasheer abdubasheer
  • 09-10-2017
  • Mathematics
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In the diagram below, ∠Q is bisected.



Find the perimeter of ΔPQS.

In the diagram below Q is bisected Find the perimeter of ΔPQS class=

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mreijepatmat
mreijepatmat mreijepatmat
  • 09-10-2017
In any triangle, when the bisector of a given angle intercept the opposite side in S, we have the following proportionality: (am taking your triangle)

QP/QR = SP/SR

To be able to calculate the perimeter we need to know SP, which can be extracted from the formula QP/QR = SP/SR

QP/QR = SP/SR → 36/15 =SP/11  ; SP = (11x36)/15 = 26.4

And the perimeter is : 36+15+ (11+26.4) = 77.4 units
 

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