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Is an exterior angle of a right triangle always an obtuse angle?
Wiki User
∙ 12y ago
If exterior angle makes linear pair with the right angle then exterior angle is 90o.
If exterior angle makes linear pair with any of the other two angles then it is greater than 90o i.e. obtuse angle.
Consider a right triangle ABC, right angled at B.
We have: ∠B = 90o and ∠A + ∠C = 90o.
Let us consider exterior angle be x.
If exterior angle is supplement to B(i.e. ∠B + x = 180o or linear pair) then exterior angle(x) = ∠A + ∠C = 90o.
If exterior angle is supplement to any of the other two angles then exterior angle is greater than 90o.
Let us say x is supplement to ∠A then x = ∠B + ∠C = 90o + ∠C.
And 90o + ∠C is greater than 90o so, x is obtuse angle.
Wiki User
∙ 12y ago
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What triangle has an obtuse angle?
An obtuse triangle has an obtuse angle.
What do you call a triangle containing one obtuse angle?
A triangle containing an obtuse angle is an obtuse triangle.
What is a triangle with one obtuse angle?
obtuse triangle
What kind of the triangle according to sides of the angle?
If one angle is a right angle, it is a right triangle. If one angle is an obtuse angle, it is an obtuse triangle. If there are no right nor obtuse angle then it is an acute triangle.
What statement is always true about an obtuse triangle?
An obtuse triangle has 1 obtuse angle and 2 acute angles which add up to 180 degrees.
Is an exterior angle of a triangle always acute?
No :) Because one angle of the triangle is always acute and so the exterior has to be obtuse.
Are the exterior angles of a scalene triangle always obtuse?
No, they are not always obtuse, because a scalene triangle can also sometimes be an obtuse triangle (meaning that one interior angle is obtuse), making one exterior angle acute. Scalene triangles also can be a right triangles (meaning that one interior angle is a right angle), which would make an exterior angle a right angle. Then also they can be acute triangles, in this case all 3 exterior angles are obtuse.
Is it possible for some triangles to have none exterior angle obtuse angle?
Yes, a Triangle can have 3 obtuse EXTERIOR angles of measure 120° ONLY in the case of an equilateral Triangle. OTHERWISE, a Triangle always has 2 obtuse Exterior angles and 1 acute Exterior angle.
Can a triangle be obtuse and acute?
No, because if there is on obtuse angle the triangle will always be obtuse.
Can a triangle be both acute and obtuse?
No, because if there is on obtuse angle the triangle will always be obtuse.
When is the circumcenter of a triangle in the exterior of the triangle?
All triangles with an obtuse angle will have the circumcentre outside the boundary of the triangle.
Does a triangle sometimes always or never have a right triangle and an obtuse triangle?
A triangle can never include a right angle and an obtuse angle together in it.
What triangle has an obtuse angle?
An obtuse triangle has an obtuse angle.
Can an acute-angled triangle have an acute exterior angle?
No. An interior angle plus its exterior partner add up to 180 degrees. In order for an exterior angle to be acute, its interior partner would have to be obtuse, which doesn't happen in an acute triangle.
A triangle with 1 obtuse angle?
A triangle with 1 obtuse angle is called an obtuse triangle.
Does every triangle have at least one obtuse angle?
-- No right triangle, acute triangle, or equilateral triangle has an obtuse angle in it. -- If a triangle has an obtuse angle in it, then it's called an obtuse triangle. -- No triangle can have more than one obtuse angle in it .
What do you call a triangle containing one obtuse angle?
A triangle containing an obtuse angle is an obtuse triangle.
