Question

Identify the condition to be checked before constructing a triangle.
(a) Sum of the three angles is 180º.
(b) The sum of any two of the sides is greater than the third side.
(c) The difference of any two sides in lesser than the third side.
(d) All the above.​

Answer 1

Answer:

Correct option is

A

Greater

Let ABC be a triangle,

We can extend BA past A into a straight line,

Then there is a point D such that DA=CA

Therefore, from Isosceles triangle has two equal angles,

∠ADC=∠ACD

Thus, in △DCB,

∠BCD>∠BDC (Side opposite greater angle is larger)

Thus, BD>CD

BA+AD>CD (Since, AC=AD)

BA+AC>CD

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

Step-by-step explanation:

Answer 2

Answer:

d) all of the above

Step-by-step explanation:

option A B C are the properties of a triangle