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Byju's Answer
Standard VII
Mathematics
Angle Sum Property
Can a triangl...
Question
Can a triangle have one obtuse and one right angle?
A
Yes
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B
No
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C
Sometimes
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D
None of these
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Solution
The correct option is
A
No
⇒
Sum of three interior angle of a triangle is
180
o
.
⇒
One obtuse and one right angle by definition mean that there would be one
90
o
angle and other will be more than
90
o
.
⇒
Let obtuse angle will be
91
o
. So,
90
o
+
91
o
=
181
o
. That is already too much for a triangle, even before the third angle has been considered.
∴
A triangle can never have one obtuse and one right angle.
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Similar questions
Q.
A triangle can have more than one obtuse angle
Q.
Which of the following statements are true (T) and which are false (F):
(i) Sum of the three angles of a triangle is 180°.
(ii) A triangle can have two right angles.
(iii) All the angles of a triangle can be less than 60°
(iv) All the angles of a triangle can be greater than 60°.
(v) All the angles of a triangle can be equal to 60°.
(vi) A triangle can have two obtuse angles.
(vii) A triangle can have at most one obtuse angles.
(viii) If one angle of a triangle is obtuse, then it cannot be a right angled triangle.
(ix) If one angle of a triangle is obtuse, then it cannot be a right angled triangle.
(x) An exterior angle of a triangle is less than either of its interior opposite angles.
(xi) An exterior angle of a triangle is equal to the sum of the two interior opposite angles.