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Which of the following could NOT be the lengths of the sides of a triangle?

A.5 in, 5 in, 5 in
B. 10 cm, 15 cm, 20 cm
C. 3 in, 4 in, 5 in
D. 8 ft, 15 ft, 5 ft

User GeReV
by
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1 Answer

7 votes

Given:

Sides of triangles in the options.

To find:

Which could NOT be the lengths of the sides of a triangle.

Solution:

Condition for triangle:

Sum of two smaller sides of a triangle must be greater than the longest side.

In option A,


5+5=10>5

Sides 5 in, 5 in, 5 in are the lengths of the sides of a triangle.

In option B,


10+15=25>20

Sides 10 cm, 15 cm, 20 cm are the lengths of the sides of a triangle.

In option C,


3+4=7>5

Sides 3 in, 4 in, 5 in are the lengths of the sides of a triangle.

In option D,


8+5=13<15

Since, the sum of two smaller sides is less than the longest side, therefore the sides 8 ft, 15 ft, 5 ft are not the lengths of the sides of a triangle.

Therefore, the correct option is D.

User Living
by
8.0k points

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