Question

Can you construct a triangle ABC with BC=6cm, B=60° and

AB+AC=5cm? If not, give reasons.​

Answer 1

Answer:

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Answer 2

Answer:

We know that, by triangle inequality property, construction of triangle is possible if sum of two sides of a triangle is greater than the third side.

Here, AC + BC = 5 cm which is less than AB ( 6 cm)

Thus, ΔABC is not possible.

Also, by triangle inequality property, construction of triangle is possible, if difference of two

sides of a triangle is less than the third side

Here, AC – BC = 5 cm, which is less than AB (6 cm)

Thus, ΔABC is possible.