Question

In the adjoining figure, PL perpendicular to QR; LQ = LS and LR > LQ. Show that PR > PQ. (Hint. triangle PLQ congruent to triangle PLS == angle 1 = angle 3. But, angle 3 > angle 2. :. angle 1 > angle 2.]




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Answer 1

Hello,Buddy!!

Given:-

• PL is perpendicular to QR.
• LQ = LS
• LR > LQ
• ∆PLQ ≅ ∆PLS & Angle 1 = Angle 3
• Angle 3 > Angle 2 & Angle 1 > Angle 2

To Prove:-

• PR > PQ

Required Proof:-

In ∆PQR,

As, Angle 1 > Angle 2

Angle 1 is Large & Angle 2 is small.

WKT

• Sides Opposite to Larger Angles are Longer.
• Sides Opposite to Smaller Angles are Smaller.

So, Side Opposite is Angles 1 is PR

Side Opposite to Angle 2 is PQ

• PR > PQ

Hence, Proved.

@MrMonarque♡

Hope It Helps You ✌️ [tex][/tex]

Answer 2

hope this helps!

the attachment contains a step by step explanation in detail..plz go through it.