Question

write true or false the sum of any two sides of a triangle is grater than the third side
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Answer 1

Answer:

True

Step-by-step explanation:

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

In the triangle abc, the following inequalities hold.

a+b>c

a+c>b

b+c>a

Answer 2

True
Explanation:

Construction: In ΔABC, extend AB to D in such a way that AD=AC.
In ΔDBC, as the angles opposite to equal sides are always equal, so,
∠ADC=∠ACD
Therefore,
∠BCD>∠BDC
As the sides opposite to the greater angle is longer, so,
BD>BC
AB+AD>BC
Since AD=AC, then,
AB+AC>BC
Hence, sum of two sides of a triangle is always greater than the third side.