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Question

State the type of each triangle given below.


Fig. 1

Fig. 2

Fig. 3

Fig. 4

Fig. 5

Fig. 6

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Solution

In Fig. 1, ∠ABC = 90°.
Since, one angle of ∆ABC is a right angle, it is a right-angled triangle.

In Fig. 2, sides PQ and PR are equal.
Since, the two sides of ∆PQR are equal in length, it is an isosceles triangle.

In Fig. 3, XYZ = 120°.
Since, one angle of ∆XYZ is greater than 90°, it is an obtuse-angled triangle.

In Fig. 4, all the angles of the triangle are acute angles.
So, ∆MNO is an acute-angled triangle.

In Fig. 5, DE = EF = DF = 4cm
Since, all the sides of ∆DEF are equal in length, it is an equilateral triangle.

In Fig. 6, ∠CAB = 92°.
Since, one angle of ∆ABC is greater than 90°, it is an obtuse-angled triangle.

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