The perimeter of right isosceles ΔABC with midsegment DE is 16 + 8√2.
If right isosceles ΔABC has hypotenuse length h, then the two other sides are congruent.
side a = side b
Using Pythagorean theorem, c^2 = a^2 + b^2
h^2 = a^2 + b^2 a = b
h^2 = 2a^2
a = h/√2
If DE is a midsegment not parallel to the hypotenuse, then it is a segment that connects the midpoints of one side of a triangle and the hypotenuse. See photo for reference.
ΔABC and ΔADE are similar triangles.
a : b : h = a/2 : 4 : h/2
If a/2 = a/2, then b/2 = 4.
b/2 = 4
b = 8
If a = b, then a = 8.
If a = h/√2, then
8 = h/√2
h = 8√2
Solving for the perimeter,
P = a + b + h
P = 8 + 8 + 8√2
P = 16 + 8√2
P = 27.3137085
To learn more about midsegment: brainly.com/question/7423948
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The correct answer is 3380 meters
Explanation:
The initial elevation of the hike can be represented as -20 meters, this is because the initial elevation is below the sea level, and in terms of elevation the sea level is considered to be 0. Now, using this number the final elevation can be calculated by adding the two numbers:
-20 + 3400 = 3380
This implies the final elevation has 3380 meters
You can also get this same result by considering there are 20 meters from the initial elevation to the sea level and then 3380 meters from the sea level to the final elevation (3380+20 = 3400).
Answer:
Think of it like a number line. If you start at 2 and move three to the left you land on -1.
no this relation is not a function, because for each input (x), there is no output (y)
