Given:
The vertices of a triangle ABC are A(-3,-4), B(16,-2) and C(13,-10).
To show:
That the triangle ABC is a right angled triangle.
Solution:
Distance formula:

The vertices of a triangle ABC are A(-3,-4), B(16,-2) and C(13,-10).
Using the distance formula, we get




Similarly,


And,


Now, add the square of two smaller sides.




Since the sum of the square of two smaller sides is equal to the square of the largest side, therefore the given triangle is a right angle triangle by using Pythagoras theorem.
Hence proved.
One third of 12 is greater because the pieces would be bigger.
Answer:
10.5 gallons
Step-by-step explanation:
48000 cm3 = 48 litres (1 litre = 1000 cm3)
Therefore if 1 litre = 1.75 pints then 48 litres = 48 x 1.75 = 84 pints.
Finally if 8 pints = 1 gallon
then 84 pints = (84 x 1) / 8 = 10.5 gallons
B is a variable that is as far as it can be solved