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The three sides of a triangle are 15, 25 and x units. Which one of the following is correct?

Correct Answer:

A) \( \Large 10 < x < 40 \) |

B) \( \Large 10 \le x \le 40 \) |

C) \( \Large 10 \le x < 40 \) |

D) \( \Large 10 < x \le 40 \) |

Correct Answer:

A) \( \Large 10 < x < 40 \) |

Description for Correct answer:

In a triangle,

Sum of two sides is always greater than 3rd

side i.e., x < 25 + 15=40 ...(i)

Difference of two sides is always less than

3rd side i.e., 25 - 15 =10 < x ...(ii)

Form Eqs. (i) and (ii), we get

10 < x < 40

In a triangle,

Sum of two sides is always greater than 3rd

side i.e., x < 25 + 15=40 ...(i)

Difference of two sides is always less than

3rd side i.e., 25 - 15 =10 < x ...(ii)

Form Eqs. (i) and (ii), we get

10 < x < 40

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