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Find which triangle is not acute?

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35^{\circ}, 69^{\circ}, 76^{\circ}

60^{\circ}, 60^{\circ}, 60^{\circ}

88^{\circ}, 46^{\circ}, 46^{\circ}

90^{\circ}, 45^{\circ}, 45^{\circ}

answer is D.

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Detailed Solution

We need to find which triangle is not an acute triangle.
In triangle, all three angles must be less than

90^{\circ}

to form an acute triangle.

35^{\circ}, 69^{\circ}, 76^{\circ}

⇒ All angles are less than

90^{\circ}

and it forms an acute triangle.

60^{\circ}, 60^{\circ}, 60^{\circ}

⇒ All angles are less than

90^{\circ}

and it forms an acute triangle.

88^{\circ}, 46^{\circ}, 46^{\circ}

⇒ All angles are less than

90^{\circ}

and it forms an acute triangle.

90^{\circ}, 45^{\circ}, 45^{\circ}

⇒ One of the angle is equal to

90^{\circ}

and it does not forms an acute triangle.
Hence,

90^{\circ}, 45^{\circ}, 45^{\circ}

is not an acute triangle.
Therefore, option

4

is correct.

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