Question

in triangle PQR seg rs is the angle bisector of angle PQR if PS = 4 sq t= 6 pr =5 find qr

Answer 1

in triangle PQR seg rs is the angle bisector of angle PQR if $\mathrm{PS} = 4$ sq t=6 pr =5 find qr

If RS is the bisector, then $\frac{PS}{SQ} = \frac{PR}{QR}$

PS=4, SQ=6 and PR=5, so

$$Q R = \frac {P R \times S Q}{P S} = \frac {5 \times 6}{4} = 7. 5$$