To draw the median of the triangle from vertex A, the mid point of BC must be determined. The median of the vertex A is given at (-1/2, 1). See explanation below.
<h3>How you would draw the median of the triangle from vertex A?</h3>
Recall that B = (3, 7)
and C = (-4, -5).
- Note that when you are given coordinates in the format above, B or C = (x, y)
- Hence the mid point of line BC is point D₁ which is derived as:
D₁
, ![(\frac{7-5}{2}) ]](https://tex.z-dn.net/?f=%28%5Cfrac%7B7-5%7D%7B2%7D%29%20%5D)
- hence, the Median of the Vertex A = (-1/2, 1).
Connecting D' and A gives us the median of the vertex A. See attached graph.
<h3>What is the length of the median from C to AB?</h3>
Recall that
A → (4, 2); and
B → (3, 7)
Hence, the Midpoint will be
, ![(\frac{2+7}{2} )]](https://tex.z-dn.net/?f=%28%5Cfrac%7B2%2B7%7D%7B2%7D%20%29%5D)
→ 
Recall that
C → (-4, 5)
Hence,
= ![\sqrt{[(-4 -\frac{7}{2} })^{2} + (-5-\frac{9}{2} )^{2} ]](https://tex.z-dn.net/?f=%5Csqrt%7B%5B%28-4%20-%5Cfrac%7B7%7D%7B2%7D%20%7D%29%5E%7B2%7D%20%20%2B%20%28-5-%5Cfrac%7B9%7D%7B2%7D%20%29%5E%7B2%7D%20%5D)
Simplified, the above becomes
= √(586)/2)
= 24.2074/2
= 12.1037
The length of the Median from C to AB ≈ 12
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Answer:
No, it does satisfy the Pythagorean Theorem
Step-by-step explanation:
In right triangle a² + b² = c²
Where a and b = legs and c = hypotenuse
The given measures of the legs are 3 and 7 and the given measure of the hypotenuse is √57
Which means that if this is a right triangle then 3² + 7² = √57²
3² = 9
7² = 49
√57² = 57
9 + 49 = 58
we're left with 57 ≠ 58 which is not true, meaning that , that is not a right triangle
Answer:
substitution
Step-by-step explanation:
We assume the two equations are ...
You are given an expression for x. Using that in the second equation will result in an immediate solution for y.
... 2(2y+4) -3y = 11 . . . . . substituting 2y+4 for x
.. y +8 = 11
... y = 3
... x = 2·3 +4 = 10
The solution is (x, y) = (10, 3)
Answer:
Gifted European Mathematicians (G.E.M.) project
Step-by-step explanation:
hope it is correct