In Euclidean geometry, the sum of the lengths of 2 sides of a triangle is greater than the length of the third side. The lengths of 3 sides of a triangle are 3x, 7, and 12.

Question

asked Mar 17, 2021 202k views

1 Answer

Anish Antony · Answer 1 · 2021-03-21T10:44:37+0000

Answer:
$x \in ((5)/(3),(19)/(3))$

Explanation:

Given

length of three sides are

$3x, 7\ and\ 12$

according to Euclidean geometry

7+12>3x

19>3x

(19)/(3)>x

also

3x+7>12

3x>5

x>(5)/(3)

therefore value of
$x \in ((5)/(3),(19)/(3))$

If x is an integer then x can be
2,3,4,5,6