Question

11. Can a triangle have
(i) two right angles?
(ii) two obtuse angles?
(iii) two acute angles?
(iv) each angle more than 60°?
(v) each angle less than 60°?
(vi) each angle equal to 60°?​

Answer 1

Answer:

1 no

2 no

3 yes

4 no

5 no

6 yes

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Answer 2

Answer:

(i) No, Two right angles would up to 180o.,So the third angle becomes zero. This is not possible, so a triangle cannot have two right angles. [Since sum of angles in a triangle is 180o ] (ii) No, A triangle can’t have 2 obtuse angles. Obtuse angle means more than 90o So that the sum of the two sides will exceed 180o which is not possible. As the sum of all three angles of a triangle is 180o . (iii) Yes A triangle can have 2 acute angle. Acute angle means less the 90o angle (iv) No, Having angles-more than 60o make that sum more than 18o Which is not possible [ The sum of all the internal angles of a triangle is 180o ] (v) No, Having all angles less than 60o will make that sum less than 180o which is not possible. [The sum of all the internal angles of a triangle is 180o] (vi) Yes A triangle can have three angles are equal to 60o . Then the sum of three angles equal to the 180o Which is possible such triangles are called as equilateral triangle. [ The sum of all the internal angles of a triangle is 180o ] ← Prev QuestionNext Question → Related questions 0 votes 1 answer Write the sum of the angles of an obtuse triangle. asked Feb 15, 2020 in Triangles by ShasiRaj (62.4k points) triangles and its angles class-9 0 votes 1 answer If the bisectors of the base angles of a triangle enclose an angle of 135°, prove that the triangle is a right triangle. asked Aug 11, 2018 in Mathematics by Sonu khan (35.6k points) triangles and its angles class-9 0 votes 1 answer The bisectors of base angles of a triangle cannot enclose a right angle in any case. asked Aug 11, 2018 in Mathematics by Sonu khan (35.6k points) triangles and its angles class-9 0 votes 1 answer If the angles of a triangle are in the ratio 2:1:3, then find the measure of smallest angle. asked Feb 15, 2020 in Triangles by ShasiRaj (62.4k points) triangles and its angles class-9 0 votes 1 answer The exterior angles, obtained on producing the base of a triangle both ways are 104° and 136°. asked Feb 15, 2020 in Triangles by ShasiRaj (62.4k points) triangles and its angles class-9 Read more on Sarthaks.com - https://www.sarthaks.com/110146/can-a-triangle-have-i-two-right-angles-ii-two-obtuse-angles

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