Math, asked by ronaksingh6055, 4 hours ago


QUESTION 5: Use the appropriate sign in statement AC _ AB + BC
(a) >
(c) =​

Answers

Answered by munnihandique
4

Answer:

AC=AB+BC

SHAYAD YEH HOGA ANSWER

Answered by ChitranjanMahajan
0

Correct Question

Use the appropriate sign in statement AC _ AB + BC

(a) >

(b) =

Answer

the answer is (b) =

Given

Statement- AC _ AB + BC

(a) >

(b) =

To Find

The correct option

Solution

We are given three line segments,

  • AC
  • AB
  • BC

Here we see that AB and BC have a common point B to them. and points A and C make up the third line segment, AC.

Therefore, there are two possibilities:-

  1. They are line segments of a ΔABC with A, B, and C as vertices
  2. Points A, B, and C are collinear, i.e they are all in one line. Here, points A and C will be at two extremes with B lying somewhere in between them.

Now we know that for any triangle,

The sum of the length of two sides > the length of the third side

Therefore, AC cannot be greater than AB + BC

Therefore, first option (a) > is not correct.

Hence, these three points are collinear, with A and C at two extremes and B somewhere in between

Hence, the answer is (b) =.

#SPJ2

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