mprjug6
13.10.2019 •
Mathematics
Three identical coins, labeled a, b, and c in the figure, lie on three corners of a square 10.0 cm on a side. determine the x coordinate of each coin, xa, xb, and xc.
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Ответ:
The line is 1/2 the length of the square's diagonal :
(1/2)(10√2) = 5√2.
Let CG be a distance x from the vertex of the right angle in the triangle.
Remaining distance = 5√2 - x.
(1)(x) = (2)(5√2 - x)
x = 10√2 - 2x
3x = 10√2
x = (10/3)√2.
Using Pythagorean theorem,
x^2 + y^2 = c^2
c = (10/3)√2,
and x = y,
so 2x^2 = 200/9
x = √(100/9) = 10/3 = y.
x = y = 3.333
Ответ:
We know:
a, b, c - the lenght of sides of a triangle
a + b > c; a + c > b; b + c > a
We have:
a = 14 in; b = 4 in
check b + c > a:
c = 10in → 4 + 10 = 14 NOT
c = 11 in → 4 + 11 = 15 > 14
11 in