Tell why triangle abc congurent trinagle pqr. Find ac and pr.
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in triangles ABC and PQR
angle b = q ( both are 120°)
bc = qr ( both are 5 cm)
angle c = r ( both are 30°)
therefore triangle ABC is congruent to triangle PQR by ASA CONGRUENCY.
which implies AC=PR ( by cpct)
which means
(3X-1) = (X+5)
2X = 6
X = 3
therefore AC = 3X-1= 8
PR=X +5= 8
angle b = q ( both are 120°)
bc = qr ( both are 5 cm)
angle c = r ( both are 30°)
therefore triangle ABC is congruent to triangle PQR by ASA CONGRUENCY.
which implies AC=PR ( by cpct)
which means
(3X-1) = (X+5)
2X = 6
X = 3
therefore AC = 3X-1= 8
PR=X +5= 8
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