The lengths of 2 sides of a triangle game are 55 and 20 what are the possible lengths of the 3rd side

45, 60, 72

Step-by-step explanation:

use the Triangle Inequality Theorem which states that the sum of any two sides must be greater than the third side

20 + x > 55  This tells us that the minimum value of the third side

x > 35           must be 36

20 + 55 > x   This tells us that the maximum value of the third side

75 > x            must be 74 or less

The third side must be greater than or equal to 36 and less than or equal to 74

answer

false

explanation

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hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)