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Question

In Fig. 12.14, there are five triangles. The measures of some of their angles have been indicated. State for each triangle whether it is acute, right or obtuse.

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Solution

(i) This is a right angled triangle, as it contains a 90o angle.
(ii) This is an obtuse angled triangle, as one of the angle(120o) measures more than 90o and less than 180o.
(iii) This is an acute angled triangle, as all the angles are less than 90o.
(iv) This is a right angled triangle, as it contains a 90o angle.
(v) This is an obtuse angled triangle, as one of the angle (110o) measures more than 90oand less than 180o.

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