MarkeaseI520762 MarkeaseI520762
  • 25-10-2022
  • Mathematics
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In ^ABC , AB = 10 and BC = 5 . Which expression is always true?

In ABC AB 10 and BC 5 Which expression is always true class=

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LavenderX466099 LavenderX466099
  • 25-10-2022

Given:

In triangle ABC,

AB=10

BC=5.

AC is the third side of triangle ABC.

If, a, b and c are lengths of three sides of a triangle, then the sum of any two sides of the triangle is greater than the third side of the triangle. Also, the difference between any two sides of the triangles is always less than the third side of the triangle. i.e.,

[tex]|a-b|

Since in triangle ABC, AB=10 and BC=5, then

[tex]\begin{gathered} |AB-BC|Therefore, 5 is the correct expression.Option C is correct.
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