Question

2. (1) In the given figure, Pand Q are points
on the sides AB and AC respectively of A ABC, such that AP = 3.5 cm; PB = 7 cm; AQ = 3 cm and QC = 6 cm. If PQ = 4.5 cm, find BC.
.

Answer 1

Step-by-step explanation:

PQ||BC

Triangle APQ is similar to triangle ABC

AP/AB=AQ/AC=PQ/BC ( by BPT THeorm)

AQ/AC=PQ/BC

3/3+6=4.5/BC

3/9=4.5/BC

1/3=4.5/BC

BC=4.5×3

BC=13.5