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buky0910p6db44
15.06.2021 •
Mathematics
100 POINTS, MARK BRAINLIEST, 1 QUESTION Answer with a Square-root symbol. (Just say it like 5 root 2)
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Ответ:
Step-by-step explanation:
There are three right-angled triangles and two of them have x in their dimensions:
The largest one with one side at 48+x and another at 10
The smallest one with one side at x and another at 10
Those 2 right-angled triangles are similar because of AAA - both have a right-angle and share a common angle.
So their sides are in the same ratio:
x / 10 = 10 / (48+x)
x*(48+x) = 10*10
x^2 + 48x - 100 = 0
(x+50)*(x-2) = 0
x = -50 or 2
As length cannot be negative, x = 2
Ответ:
Step-by-step explanation:
let the missing side in the upper right triangle be y
x^2 + y^2 = 10^2
let the missing side in the lower left triangle be z
48^2 + y^2 = z^2
subtracting the two eqns
48^2 - x^2 = z^2 - 10^2
z^2 = 48^2 + 10^2 - x^2
for the overall big triangle
z^2 + 10^2 = (48+x)^2
substituting
48^2 + 10^2 - x^2 + 10^2 = 48^2 + 96x + x^2
2x^2 + 96x - 200 = 0
x^2 + 48x - 100 =0
(x+50)(x-2) = 0
x=-50 or 2
rejecting the -ve soln
x=2
Ответ:
5
Step-by-step explanation:
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