(1, 
) and (1, - )
Step-by-step explanation:
Step 1 :
The co ordinates of the given equilateral triangle are A(-2,1) and B(4,1)
The distance between these 2 points is the length of the given triangle
Distance between the 2 points is 
= sqrt (sq(4-(-2)) + sq(1-1)) = 6
Hence the given triangle has 3 equal side of length 6 unit.
Step 2:
The length of the other side should be 6. Let (x,y) be the co-ordinate of the point C
We have then x = 1 (because the perpendicular from C to AB bisects AB we have the point C to have the x co-ordinate as 1)
Also we have the distance between the point B(4,1) and C(1,y) to be 6 as this is an equilateral triangle
Hence 
= 6
=> 9 + 1 + 
-2 y = 6
=> -2 y - 26 = 0
=> y = 2± sqrt(4+104) / 2 = 1 ± sqrt(27)
Hence the possible co ordinates of C are (1, ) and (1, - )
A ratio of 3:2.
The easiest way to go about this is to divide the actual number of wins (18) by its corresponding element in the ratio.
So:
This means every element on the ratio has a value of 6.
The amount of element in the ratio that correspond to losses is 2.
Multiply the actual amount of matches per element in the ratio by the number of elements that represents the losses in the ratio.
Your answer:
<em>"The team lost 12 games."</em>
Answer:
x = 192
Step-by-step explanation:
The three right triangles in the figure are all similar, so their sides are proportional.
<h3>Proportion</h3>
The length marked x is the long side of the smallest triangle, and the short side of the middle-size triangle. The long side of the middle-size triangle is ...
400 -144 = 256
We now have enough information to write the proportion ...
long side/short side = x/144 = 256/x
Multiplying by 144x gives ...
x² = (144)(256)
x = √(144×256) = 12×16 = 192
The length x is 192 units.
In the Triangle ABD, Using Pythagoras theorem we can write
In the Triangle ACD using Pythagoras Theorem
Now in the larger Triangle ABC, we can write
Now substitute the values from the above equations we get
Answer:
x+16
Step-by-step explanation:
