Question

Forwarded
Point P divides side AB of equilateral
AABC in the ratio 1:2. If CP=1, then
find the area of AABC.
​

Answer 1

Answer:

1/√3

Step-by-step explanation:

In ΔABC, /_C=60°

=> /_C/2= 30°

tan30°=AP/CP

=>1/√3=AP/1

=>AP=1/√3

ar(ΔABC)= 1/2×b×h

= 1/2×AB×CP=AP×CP=1/√3×1

= 1/√3

Answer 2

Answer:

area = (1/2)×base × ht

= (1/2) × (3/√3) × 1

= 3/(2√3)

= √3/2