Question

PQR is an isosceles triangle with PQ=PR . Draw PL perpendicular to QR to show that angle q is equal to angle r .

Answer 1

Given :  PQR is an isosceles triangle with PQ=PR . Draw PL perpendicular to QR

To Find  : show that angle q is equal to angle r .

Solution:

PQR is an isosceles triangle with PQ=PR

PL perpendicular to QR

Compare

ΔPLQ & ΔPLR

PL = PL  ( common)

∠PLQ = ∠PLR = 90°

PQ = PR    

=> ΔPLQ ≅ ΔPLR

=> ∠Q = ∠R

QED

Hence Proved

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Answer 2

Answer:

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