Question

Angel LMN has vertices L(-2, 4), M(3, 2), and N(1,-3). Which describe the triangle?

Answer 1

Triangle LMN has two sides that are of the same size, therefore, triangle LMN is described as: isosceles triangle.

What is an Isosceles Triangle?

A triangle with two equal sides and two equal base angles is described as an isosceles triangle.

What is the Distance Formula?

The formula for finding the distance between two coordinate points is called the distance formula, and it is expressed as: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$.

Given the vertices of the angles of triangle LMN as:

• L(-2, 4),
• M(3, 2),
• N(1,-3)

Use the distance formula to find the length of each side of the triangle.

LM = √[(3−(−2))² + (2−4)²]

LM = √[(5)² + (−2)²]

LM = √29 units

MN = √[(3−1)² + (2−(−3))]²

MN = √29 units

LN = √[(−2−1)² + (4−(−3))²]

LN = √(−3)² + (7)²]

LN = √(9 + 49)

LN = √58 units

Isosceles triangles have two equal sides. Triangle LMN has two sides that are of the same size, therefore, triangle LMN is described as: isosceles triangle.

Learn more about isosceles triangle on:

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