Vertex is (7,-4) for answer.
Hope this helps. :)
Hi there Maebe, since the ratio is 3:1 your answer is 96.
The ratio 3:1 is just saying Juanita has 3 times whatever Elita has. So, Elita’s 32 times 3 equals 96. :) I hope I’ve helped you. Please give me feedback if you need more help understanding!
Answer:
x = 144
Step-by-step explanation:
What you need to remember about this geometry is that all of the triangles are similar. As with any similar triangles, that means ratios of corresponding sides are proportional. Here, we can write the ratios of the long leg to the short leg and set them equal to find x.
x/60 = 60/25
Multiply by 60 to find x:
x = (60·60)/25
x = 144
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<em>Comment on this geometry</em>
You may have noticed that the above equation can be written in the form ...
60 = √(25x)
That is, the altitude from the hypotenuse (60) is equal to the geometric mean of the lengths into which it divides the hypotenuse (25 and x).
This same sort of "geometric mean" relation holds for other parts of this geometry, as well. The short leg of the largest triangle (the hypotenuse of the one with legs 25 and 60) is the geometric mean of the short hypotenuse segment (25) and the total hypotenuse (25+x).
And, the long leg of the large triangle (the hypotenuse of the one with legs 60 and x) is the geometric mean of the long hypotenuse segment (x) and the total hypotenuse (25+x).
While it can be a shortcut in some problems to remember these geometric mean relationships, you can always come up with what you need by simply remembering that the triangles are all similar.
Answer:
Step-by-step explanation:
We are given coordinates of each of the vertices of the triangle ABC, hence we can use the distance formula to find the lengths of each of the side.
the distance formula is generally written as:
for the side AB: A(-2,2,3) and B(4,-4,3)
for the side BC: B(4,-4,3) and C(7,6,4)
for the side CA: C(7,6,4) and A(-2,2,3)
Now we all the sidelengths:
to find the perimeter we need to just sum the three side lengths:
this is the perimeter of triangle ABC
Answer:
y=2/3x+4
Step-by-step explanation:
