If a triangle is made up of side lengths a, b and c
Given that c is the longest side length of the triangle,
The Pythagorean theorem can be used to tell if the triangle
is obtuse, acute or right
In an obtuse triangle,
a^2 + b^2 < c^2
In an acute triangle,
a^2 + b^2 > c^2
In a right angled triangle,
a^2 + b^2 = c^2
2/6 is also equal to 1/3. This is because the GCF of 2 and 6 is 2, and dividing both the numerator and denominator by 2 gets us a simplified fraction of 1/3.
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Answer: he had 5 pounds.
Step-by-step explanation:
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Answer:
is proved for the sum of pth, qth and rth terms of an arithmetic progression are a, b,and c respectively.
Step-by-step explanation:
Given that the sum of pth, qth and rth terms of an arithmetic progression are a, b and c respectively.
First term of given arithmetic progression is A
and common difference is D
ie.,
and common difference=D
The nth term can be written as

pth term of given arithmetic progression is a

qth term of given arithmetic progression is b
and
rth term of given arithmetic progression is c

We have to prove that

Now to prove LHS=RHS
Now take LHS




![=\frac{[Aq+pqD-Dq-Ar-prD+rD]\times qr+[Ar+rqD-Dr-Ap-pqD+pD]\times pr+[Ap+prD-Dp-Aq-qrD+qD]\times pq}{pqr}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5BAq%2BpqD-Dq-Ar-prD%2BrD%5D%5Ctimes%20qr%2B%5BAr%2BrqD-Dr-Ap-pqD%2BpD%5D%5Ctimes%20pr%2B%5BAp%2BprD-Dp-Aq-qrD%2BqD%5D%5Ctimes%20pq%7D%7Bpqr%7D)




ie., 
Therefore
ie.,
Hence proved