Goutham took random measurements of sides viz. AB = 3 cm, BC = 5 cm, and AC = 8.5 cm and started constructing a triangle ABC. Which of the following statement is correct?

Right angle triangle can be formed using these measurements

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Acute angle triangle can be formed using these measurements

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Any type of triangle can be formed using these measurements

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You cannot construct any type of triangle using these measurements

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Solution

The correct option is D You cannot construct any type of triangle using these measurements
For constructing a triangle, the sum of any two sides must be greater than the third side. But here, AB (3 cm) + BC (5 cm) = 8 cm; is less than AC (8.5 cm)

So, Goutham can't construct a triangle using sides AB = 3 cm, BC = 5 cm, and AC = 8.5 cm.

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