a triangle cannot have more than one right angle , three acute angle , one obtuse angle or all angles equal
Answers
This is right that a Triangle cannt have more than 1 right angle,one obtuse angle and all angles are equal....
(I) a triangle cannot have more than 1 right angle:-
Sum of all angles of triangle is equal to 180 and if there will 2 right angled in a triangle then only sum of two angle will be 180°..
Then what will about third angle ..so...
A triangle have more and more only 1 right angle...
(ii) a triangle have three a cute angle :-
accute angle means the angle more than 0°and less than 90°...
A triangle have three accute angles in a triangle ..
(iii)A triangle have only one obtuse angle :-
Obtuse angle means the angle more than 90°and less than 180°...
so ..if there will 2 obtuse angle then sum of two angles will 180° or more than 180°....
(iv)All angles are equal in a triangle if all angles will 60°...
then sum of all angles of triangle is 180°...
Hope this will help u...
The given question is a triangle cannot have more than one right angle, three acute angles, one obtuse angle or all angles equal.
we have to prove the above following:-
1. A triangle can not have more than one right angle.
As we know that the sum of the angle of the triangle will be 180.
if the right angle was 90°.
Then the remaining angles must be less than 90° to get the correct triangle.
If it has more than one right angle the sum will become more than 180° which is not possible.
so, the triangle cannot have more than one right angle.
2. A triangle can have three acute angles.
The acute angle is less than 90° and more than 0°.
where a triangle can have three acute angles whose sum will be equal to 180°.
3. A triangle can have one obtuse angle.
An obtuse angle of a triangle is an angle whose value is more than 90° and less than 180°.
If two obtuse angle means the sum of two obtuse angles will be greater than 180°, which is not possible for a triangle.
so, the triangle will have one obtuse angle.
4,In a triangle, all angles are equal if and only if it is equal to 60°.
where the sum of 3 (60°) is equal to 180°.
It forms an equilateral triangle.
# spj2