In the diagram, PQ is parallel to BC.
APB and AQC are straight lines.
PQ = 8 cm, BC = 10 cm and AB = 9 cm.
Calculate PB.
Answers
Answered by
3
Answer:
APB and AQC are straight lines
PQ is parallel to BC.
ΔAPQ and ΔABC
∠A =∠ A ( common)
∠P = ∠B ( corresponding angles)
∠Q = ∠C ( corresponding angles)
ΔAPQ ≈ ΔABC ( AAA similarity criteria)
Similar Triangles: corresponding angles are congruent and the corresponding sides are proportional
AP/AB = PQ/BC
=> 8/AB = 10 / 12
=> AB = 8 x 12 /10
=> AB = 9.6 cm
length of AB = 9.6 cm
Step-by-step explanation:
Answered by
1
Answer:
Step-by-step explanation:
9/AC=10/8
AC=9x(10÷8)
AC=7.2
PB=AB-AC
PB=9-7.2
PB=1.8 ANS
Similar questions