Question

in the given figure triangle PQR is a right angle triangle in which angle Q=90degrees and D is the midpoint of PR prove that QD =1/2PR​

Answer 1

The first step. Please draw the chart in given Question. ⬆️ And then,

Write this all⬇️☺️

We produce QD to S such that QD = DS

∆PDQ ∆EDS

PD = PR

QD = DS

∆PDQ = ∆RDQ

Hence ∆PDQ =~ ∆RMS

By SAS chrihria

PQ = RS

2 ∆1 = 22

⭐RS 11 PQ

∆PQR + ∆QRS = 180⁰

Lors = 90⁰

∆PQR ∆SRQ

QR = QR

PQ = SR

∆RQP = ∆ORS

∆RQP = ∆ORS ⚠️Warning ⚠️ [ This step is 2 time, Don't think like, this an mistake. it is required ]

∆RQP = QRS

∆PQR =~ ∆OSR

⭐PR = SQ

$\frac{1}{2} = \frac{1}{2} pr$

$qd = \frac{1}{2} pr$

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