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Two sides of a triangle are 7 cm and 10 cm. Which of the following length can be the length of the third
side?
(A) 23 cm

By Jasmine

Two sides of a triangle are 7 cm and 10 cm. Which of the following length can be the length of the third
side?
(A) 23 cm
(B) 19 cm.
(C) 17 cm.
(D) 14 cm.​

About the author
Jasmine

Mother said, “Let him do what he likes. ” Change it in indirect speech ​

Edward walked around two edges of a
square field from A to B. Misha walked
diagonally from A to B. Approximately,
w

2 thoughts on “Two sides of a triangle are 7 cm and 10 cm. Which of the following length can be the length of the third<br />side?<br />(A) 23 cm”

  2. Answer:

    Correct option is .17cm

    Step-by-step explanation:

    3 cm < third side <17 cm

    We know that:

    (i) The sum of lengths of any two sides of a triangle is greater than the third side. Thus, we know that (7+10) cm is greater than the third side.

    Therefore, third side is less than 17 cm.

    (ii) The difference of lengths of any two sides of triangle is smaller than the third side. Thus (10−7) cm is smaller than the third side.

    Therefore, third side is greater than 3 cm

    Thus, 3 cm < third side <17 cm.

    Reply

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