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In the figure given below, Ray PT is bisector of ∠QPR. If PQ = 5.6 cm, QT = 4 cm and TR = 5 cm, find the value of x . - Geometry

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In the figure given below, Ray PT is bisector of ∠QPR. If PQ = 5.6 cm, QT = 4 cm and TR = 5 cm, find the value of x .

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Solution

Given: ray PT is bisector of ∠QPR.

PQ = 5.6 cm, QT = 4 cm and TR = 5 cm.

In a triangle, the angle bisector divides the side opposite to the angle in the ratio of the remaining sides.

`"QT"/"TR"="PQ"/"PR"`

`4/5=5.6/x`

`x=(5.6xx5)/4`

`x=28/4=7`

`PR=7cm`

 

Concept: Similarity of Triangles
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