<span>Given cotA + cotB + cotC = sqrt3
to prove triangle ABC is equilateral
we prove this by assuming ABC to be equialteral and establishing the truth
of the statement cotA + cotB + cotC =sqrt3
since ABC is equialteral angleA=angleB=angleC=60 degrees
cotA=cotB=CotC = cot60= 1/sqrt3
therefore cotA + cotB + cotC = 1/sqrt3 + 1/sqrt3 + 1/sqrt3
=3/sqrt3
=sqrt3 which is equal to the RHS ( right hand side) of the expression
hence our assumption that ABC is equilateral is true</span>
Answer:
(0 + m)/2, (0 + n)/2.
Step-by-step explanation:
The x coordinate of the midpoint must be halfway between the x coordinates of A and B, and the y coordinate must be found in the same way.
So the midpoint is (0 + m)/2, (0 + n)/2.
Answer:
12×5 =60
60-9 =51
51-4 =47
Step-by-step explanation:
the farmer has 12 chickens and each chicken laid 5 eggs which is 12×eggs laid(5) = 60
he thre away 9 eggs which means that we are going to subtract 9 from 60
60-9=51
then he took 4 eggs for himself know we subtract 4 from 51
51-4= 47
and 47 are the eggs he took to the market
Answer: Discount = $39.98
Step-by-step explanation:
Given coupon discount of 25% off
Discount will be 25% of cost of the coat
Cost of the coat = $159.90
Discount = 25/100 × 159.90
= $39.975
Approximately $39.98
Answer:
h - d = 477 meters
Where: h = original height
d = amount the helicopter descended
The original height of the helicopter is given to be h
Step-by-step explanation:
