Question

choose my correct height
(a).5 ft (b).5.3 (c).5.5 (d)5.6
if you write correct answer I wll follow you plz girls tell​

Answer 1

Answer:

ANSWER

Given: PQ || BC

To find: AP and AQ

Since, PQ || BC, AB is transversal, then,

ΔAPQ=ΔABC [by corresponding angles] Since, PQ || BC, AC is transversal, then,

ΔAPQ=ΔABC [by corresponding angles] In ΔAPQ and ΔABC

∠APQ=∠ABC

∠AQP=∠ACB

∴ΔAPQ≃ΔABC [byAAA similarity] Since, the corresponding sides of similar triangles are proportional

∴

AB

AP

=

BC

PQ

=

AC

AQ

⟹

AB

AP

=

BC

PQ

⟹

4.6

AP

=

5

2.5

⟹AP=2.3

Now taking

BC

PQ

=

AC

AQ

5

2.5

=

5.5

AQ

AQ=2.75cm

Therefore, AP = 2.3cm and AQ = 2.75cm

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