Question

In pqr, rs is the bisector of r. If pq=6cm, qr=8cm, and rp = 4 cm, then ps =

Answer 1

Answer:

Step-by-step explanation:

Given: ∠ PRS =∠ SRQ and PQ = 6 cm, QR = 8 cm, RP = 4 cm

Using Angle Bisector Theorem which states that the internal bisector of an angle of a triangle divides the opposite side internally in the ratio of the corresponding sides containing the angle

Here, RS is the bisector of ∠ A so

PS/SQ=PR/RQ

Let PS be x then SQ will be 6– x.

=>$\frac{x}{ 6-x} =\frac{ 4}{8}$

=> 8x=24-4x

12x=24

x=2

So, PS = 2 cm

Answer 2

Answer:

2cm

Step-by-step explanation:

frm vertical angle bisector therom

RP/RQ = PS/SQ

4/8=PS/SQ = 1:2

HERE PQ=6CM so automatically

ps=2cm qs=4cm

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