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# In the following figure, in ΔPQR, seg RS is the bisector of ∠PRQ. If PS = 6, SQ = 8, PR = 15, find QR. - CBSE Class 10 - Mathematics

#### Question

In the following figure, in ΔPQR, seg RS is the bisector of ∠PRQ. If PS = 6, SQ = 8, PR = 15, find QR.

#### Solution

Seg RS bisects ∠PRQ ….(given)

(PR)/(QR)= (PS)/(SQ) ....(angle bisector property)

15/(QR)=6/8

QR= (15xx8)/6=20

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Solution In the following figure, in ΔPQR, seg RS is the bisector of ∠PRQ. If PS = 6, SQ = 8, PR = 15, find QR. Concept: Similarity of Triangles.
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