Question

2. Identify the criterion of construction of the equilateral triangle LMN given LM = 6 cm.
(a) S.A.S. criterion
(b) R.H.S. criterion
(c) A.S.A. criterion
(d) S.S.S. criterion

Answer 1

Answer:

(c)A.S.A criterion

Step-by-step explanation:

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Answer 2

Given:

LMN is an equilateral triangle.

The measure of side LM= 6 cm

To find:

Construction criteria for triangle LMN=?

Solution:

The criteria that will be applied for the construction of a given triangle is determined in the following way:

Out of the required parameters of side and angle, we know the measure of one side of triangle LMN.

Let the sides of the triangle be:

=> First side = Side LM = 6 cm

=> Second side = Side MN

=> Third side = Side LN

=> But the given triangle is equilateral.

∴ All sides of the triangle LMN are exactly equal to each other.

∴ Side LM = Side MN = Side LN = 6 cm

=> Now we know the measure of all sides of the triangle.

=> Hence, the given triangle can be constructed using Side Side Side criteria.

Therefore, option d is correct for this question.