Recall the concept of the triangle — lesson. Mathematics State Board, Class 8.

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A triangle has

$3$ sides,

$3$ vertices, and

$3$ angles. A triangle whose vertices

$A$ ,

$B$ , and

$C$ referred to

$△ABC$ .

Properties of a triangle:

The first property of a triangle:

$180°$ is always the sum of the three interior angles of a triangle.

The three angles of the

$△ABC$ are

$∠A$ ,

$∠B$ , and

$∠C$ .

As per the property, the sum of the three angles of the

$△ABC$ is

$180°$ .

That is,

$∠A + ∠B + ∠C = 180°$ .

The second property of a triangle: The sum of the length of a triangle's two sides is always greater than the length of the triangle's third side.

The three sides of the

$△ABC$ are

$AB$ ,

$BC$ and

$AC$ .

As per the property, the sum of the length of any two sides of an

$△ABC$ is always greater than the length of the third side of the

$△ABC$ .

Let the two sides are

$AB$ and

$BC$ , and the third side is

$AC$ .

Thus, we have

$AB + BC > AC$ .

Similarly,

$BC + AC > AB$ or

$AB + AC > BC$ .

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6. Recall the concept of the triangle

Theory: