Question

In figure , the length (in cm ) of each side has been indicated along the side. State the triangle whether it is scalene , isosceles or equilateral .

Answer 1

Hint:Based on the sides, Triangles are divided into three types: Scalene Triangle , Isosceles Triangle ,Equilateral Triangle. In an equilateral triangle all the sides are equal in length and all the angles are ${60^ \circ }$.Using this concept we try to solve the question.

Complete step-by-step answer:
On the bases of side the triangle are divided into three types
Scalene Triangle : In which all the sides are different in length .
Isosceles Triangle : In which the two sides of a triangle are equal and the third sides are different in length .
Equilateral Triangle : In which all the sides are equal in length . In this triangle all the angles are ${60^ \circ }$
From the figure we can observe that all sides of the triangle are equal.

As in the given question
XZ = $5$ cm
ZY = $5$cm
XY = $5$cm
Hence it means that XZ = ZY = XY = $5$cm mean that all the sides of the triangle are equal in length .
So the triangle is an Equilateral Triangle .

Note:In this question the interior angle of the triangle is equal to ${60^ \circ }$ .
On the bases of angle the triangle is divided into three categories that is ..
Acute angled triangle : Those triangle have all the three angles less than ${90^ \circ }$.
Obtuse angle triangle : Those triangle in which one angle is greater than ${90^ \circ }$.
Right angle triangle : Those triangle in which one angle is equal to ${90^ \circ }$ .