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Sum of the Lengths of 2 Sides of a Triangle

The sides of ...

Question

The sides of a triangle (in cm) are given below:
In which case, the construction of $△$ is not possible?

8, 7, 3

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8, 6, 4

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8, 4, 4

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7, 6, 5

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Solution

The correct option is C 8, 4, 4
A triangle can be formed if the sum of any two sides of triangle is greater then the third side
In option $C$ , sum of two sides is equal to third side.
So triangle can not be formed.
Option $C$ is correct.

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Similar questions

Construct a triangle with sides 5 cm, 6 cm and 7 cm and then another triangle whose sides are of the corresponding sides of the first triangle.

Give the justification of the construction.

5 c m, 6 c m

7 c m

\frac{7}{5}

∠

60^{\circ}

\frac{5}{7}

Δ

∠

60^{\circ}

\frac{5}{7}

Δ

∠ A B C = 60^{\circ}

\frac{5}{7}

△ A B C

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