Question

PQR is an isosceles triangle with PQ = PR and PS is one of its altitude. Show that
∆ PSQ ≅ ∆ PSR

Answer 1

Answer:

Step-by-step explanation:

In the ΔPSQ and  ΔPRS

PQ=PR

PS is common

∠PSQ=∠PSR=90°

Thus ∆ PSQ ≅ ∆ PSR ( SAS criteria)

Answer 2

Answer:

Step by step explaination:

In ∆ PSQ and ∆ PSR

PS = PS ( common )

PQ = PR ( given )

angle PQS = angle PRS ( angles opposite to equal sides are equal )

Therefore ∆ PSQ is congruent to ∆PSR by SAS congruency