In a triangle ABC, AB = 12 cm and BC = 15 cm, then which of the following statement is true?

3 cm < AC < 27 cm
AC < 3 cm
AC > 27 cm
AC = 27 cm

LohaHridoy

8 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 1 : 3 cm < AC < 27 cm

Given:

In a triangle ABC, AB = 12 cm and BC = 15 cm

Concept used:

When two side are given then third side lies between difference of these two sides and sum of these two sides.

Calculation:

In a triangle ABC, AB = 12 cm and BC = 15 cm

Two side are given, then third side lies between

⇒ 15 - 12 < AC < 15 + 12

⇒ 3 < AC < 27

∴ Option 1 is correct.

8 views Answered 2022-09-04 04:29

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