A triangle with following angles is possible -2 acute angles and 1 right angle-3 acute angles-2 right angles and an acute angle1 obtuse angle and 2 acute angles

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Standard VI

Mathematics

Triangles Based on Angles

A triangle wi...

Question

A triangle with following angles is possible :-

2 acute angles and 1 right angle

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3 acute angles

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2 right angles and an acute angle

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1 obtuse angle and 2 acute angles

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Solution

The correct options are
A
2 acute angles and 1 right angle

B
3 acute angles

D 1 obtuse angle and 2 acute angles
The sum of the angles of a Triangle is $180^{\circ}$ . So three angles whose sum amounts to $180^{\circ}$ is possible.

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Similar questions

Q. Draw the triangles as suggested.
(a) An acute angled isosceles triangle.
(b) An obtuse angled scalene triangle
(c) A right angled isosceles triangle.
(d) An acute angled scalene triangle.
(e) An obtuse angled isosceles triangle.

Q. Which of the following is correct?
1. The sum of two acute angles is always an obtuse angle
2. The difference between an obtuse angle and a right angle is an acute angle
3. The sum of two acute angles can be acute, right or an obtuse angle

Question 12
If the sum of two angles is equal to an obtuse angle, then which of the following is not possible?
a) One obtuse angle and one acute angle
b) One right angle and one acute angle
c) Two acute angles
d) Two right angles

Q. If the sum of two angles is equal to an obtuse angle, then which of the following is not possible?

1) one obtuse angle and one acute angle
2) two right angles
3) one right angle and one acute angle
4) two acute angles

Statement 1: A triangle in which each angle is acute is called an acute angle triangle.

Statement 2: A triangle in which each angle is obtuse is called an obtuse angle triangle.

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A triangle with following angles is possible :-

The correct options are A 2 acute angles and 1 right angle B 3 acute angles D 1 obtuse angle and 2 acute anglesThe sum of the angles of a Triangle is 180∘. So three angles whose sum amounts to 180∘ is possible.

The correct options are
A
2 acute angles and 1 right angle

B
3 acute angles

D 1 obtuse angle and 2 acute angles
The sum of the angles of a Triangle is $180^{\circ}$ . So three angles whose sum amounts to $180^{\circ}$ is possible.