Question

Two sides of a triangle measure 15 inches and 18 inches, respectively. Which of these is NOT a possible length for the third side of the triangle?

A) 4 inches
B) 18 inches
C) 24 inches
D) 36 inches

Answer 1

✨Option D) 36 inches, as it is greater than the range of the Third Side Length.✨

As, we know that -

a) The sum of two sides of a triangle is always greater than the third side.

b) The difference of two sides is always smaller than the third side.

So, In View a)

18 inches + 15 inches = 33 inches > Third Side

In View b)

18 inches - 15 inches = 3 inches < Third Side

So, we can conclude that The Third Side should lie between 3 inches to 33 inches.


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