Question

is it possible to have a triangle with the following sides
1. 3.4cm , 4.7 cm , 6.2cm ​

Answer 1

Answer :-

• Yes, it is possible to have a triangle with the following sides.

Step-by-step explanation :-

The biggest length = 6.2 cm.

We know that :-

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

• The difference of two sides of a triangle is smaller than the third side.

Now, let's find the sum and difference of the sides.

• Sum of the two sides = 3.4 cm + 4.7 cm = 8.1 cm

• Difference of the two sides = 4.7 cm - 3.4 cm = 1.3 cm.

We observe that :-

• 8.1 cm (Sum of the two sides) is greater than the third side.

• 1.3 cm (Difference of the two sides) is smaller than the third side.

Hence, a triangle is possible.

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${\underline {\bf • \: Know \: more :-}}$

To find out whether it is possible to have a triangle with the given sides, it is enough to take the biggest length and see whether the two smaller lengths are greater than it or not. It is also essential to see whether the difference of the two smaller lengths are smaller than the biggest length or not.

See the answer given by me to understand it more clearly.

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