# Scalene Triangle – Definition & Properties

In geometry, we can define a scalene triangle is defined as a triangle with sides of varying lengths. It indicates that all of the given lengths of the sides of any scalene triangle is not the same, and all three angles have distinct measurements. Based on the number of sides, it’s one of three sorts of triangles.

We will go through its definition, perimeter and area calculations, and attributes here. The sides and angles of triangles are used to define them. Do you know what a triangle is? We can define the geometrical shape triangle as a 2-dimensional planar figure which has 3 sides & three angles that are represented as a closed 3-sided polygon in geometry. It has 3 edges as well as 3 vertices.

## Definition of Acute Triangle

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In geometry, an acute triangle is defined as a triangle that has a total of 3 angles. In an acute angle, generally all the angles of a triangle measure less than 90 degrees.

Let’s go through the real-life examples of acute triangles:

• An acute angle is formed by the letter V.
• When we divide a sandwich into three or even more pieces, each slice forms an acute angle.
• The hand of the wall clock forms acute angles at various times of the day.
• The road signs “One Way” & “No Left Turn” have an acute angle.

As you can see, scalene triangles & acute triangles are common in our daily lives. They may be found everywhere around us. So, we need to go figure out the many various types of triangles we have around us.

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## What are the Properties of a Scalene Triangle?

We have already discussed what a scalene triangle is. Let’s through some of the important properties of a scalene triangle-

• If suppose we have a triangle namely FGH. FGH is a scalene triangle which means that none of the sides of the triangle have the same length. It means that the sides FG is not equal to GH, GH is not to HF and HF is not equal to FG.
• In any given scalene triangle, any of the angles of the triangle are not equal in measure.
• Any scalene triangle does not have any line of symmetry nor does it have any point symmetry.

## Perimeter of a Scalene Triangle

We can calculate the perimeter of a scalene triangle by adding all the 3 sides of the triangle. The formula to calculate the perimeter of a scalene triangle = Side1 + Side2+ Side3

Example 1: Ram has a triangle namely JKL. The lengths of the sides have been given as – 5 cm, 6 cm & 8 cm. Find the perimeter of the triangle JKL.

Solution: We already have all the measures of the sides of the triangle. Let’s note it down.

JK = 5 cm, KL = 6 cm , LJ = 8 cm

Perimeter will be equal to the sum of all the sides = 5+6+8 = 19 cm

Therefore, the perimeter of a scalene triangle is equal to 19cm.

Example 2: Sweety has a triangle namely PQR. The lengths of the sides have been given as – 10 cm, 5 cm & 9 cm. Find the perimeter of a given scalene triangle.

Solution: We already have all the measures of the sides of the triangle. Let’s note it down.

PQ = 10 CM, QR = 5 CM, RP = 9 CM

Perimeter will be equal to the sum of all the sides = 5+10+9 = 24 cm

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