Question

Name the type of triangle: ABC with AB = 8.7 cm, AC = 7 cm and BC = 6 cm.

(a) scalene triangle (b) isosceles triangle (c) right triangle (d) equilateral triangle​

Answer 1

Answer:

All the 3 sides are different. So, it is Scalene triangle.

Answer 2

The triangle is a scalene triangle.

• A triangle in the subject of geometry is a polygon which has three sides and is a figure with three edges and three vertices.
• If ABC is a triangle, it is written as triangle ABC, where A, B, and C represent the triangle's vertices. In Euclidean geometry, a triangle is a shape that is two-dimensional  and which is represented by three non-collinear points in a single plane.

• A scalene triangle is a particular kind of triangle in which each of the three sides has a unique side length. The three angles differ completely from one another as a result of this.
• Two sides of an isosceles triangle are of equal length. The two angles that are in opposition to the two equal sides are also equal.
• All three sides of an equilateral triangle are equal to one another.

Here, according to the given information, the sides are given as,

The sides are,

AB = 8.7 cm, AC = 7 cm and BC = 6 cm.

Now, since all the sides are different, the only possibilities are that the triangle can either be a scalene triangle or a right triangle.

Now, to check if the triangle is right or not,

$8.7^{2} +7^{2} =124.69\neq 6^{2}$

$6^{2} +7^{2} =85\neq 8.7^{2} =75.69$

$8.7^{2} +6^{2} =111.69\neq 7^{2}$

Hence, the triangle is a scalene triangle.

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