What is the greatest number of obtuse angles a triangle can contain?

Johnson Z. A triangle can have a maximum of 1 obtuse angle.

Do obtuse triangles add up to 180?

Obtuse Triangle Definition

An obtuse triangle is one that has an angle greater than 90°. Because all the angles in a triangle add up to 180°, the other two angles have to be acute (less than 90°). It’s impossible for a triangle to have more than one obtuse angle.

How many obtuse angles are in a triangle?

There can only be one obtuse angle in any triangle. This is because the measures of the interior angles of a triangle always must add up to 180…

What is the greatest number of right angles a triangle can contain?

Ans- No a triangle cannot have more than one right angle as if there are 2 right angles the their sum will be 180° and the third angle will exceed the sum.

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What is the greatest number of acute that a triangle can contain?

The greatest number of acute angles that a triangle can contain is three.

Can 1 acute and 2 obtuse form a triangle?

Types of Triangles. All equilateral triangles are equiangular. … A right triangle will have 1 right angle and 2 acute angles. An obtuse triangle will have 1 obtuse triangle and 2 acute angles.

What does a obtuse triangle look like?

An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees. In an obtuse triangle, if one angle measures more than 90°, then the sum of the remaining two angles is less than 90°. Here, the triangle ABC is an obtuse triangle, as ∠A measures more than 90 degrees.

Is it possible to have a triangle with 2 obtuse angles?

The answer is “No”. Reason: If a triangle has two obtuse angles, then the sum of all the 3 interior angles will not be equal to 180 degrees.

Why can a triangle not have 2 obtuse angles?

When an angle of a triangle is 90 degrees, the triangle cannot have an obtuse angle. The other two must each be less than 90 degrees (90 deg + 89 deg + 1 deg = 180 deg). … It therefore follows that they must both be less than 90 degrees and so must both be acute.

Can a triangle have 1 obtuse angles?

An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles. Since a triangle’s angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle.

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Does a triangle have any right angles?

A right triangle (American English) or right-angled triangle (British English) is a triangle in which one angle is a right angle (that is, a 90-degree angle). The relation between the sides and angles of a right triangle is the basis for trigonometry.

Which triangle has two sides?

An isosceles triangle therefore has both two equal sides and two equal angles. The name derives from the Greek iso (same) and skelos (leg). A triangle with all sides equal is called an equilateral triangle, and a triangle with no sides equal is called a scalene triangle.

What is the greatest number of right angles that a triangle can contain apex?

For it to be a right triangle, it would have a maximum of 1 right angle, and 2 acute angles.

Does a right triangle always have 2 acute angles?

Explanation: A right triangle can, and must, have exactly two acute angles. To see this, just remember that the sum of the angles of a triangle must be 180∘ . … Thus, both of the remaining two angles must have a measure less than 90∘ and therefore must be acute.

What is the value of y in the triangle?

We have to keep in mind, that the sum of three angles of a triangle is always 180°. This data will help us to solve this mathematical problem. Hence,the value of y is 55°.

Which set of three numbers could be side lengths of a triangle?

for 3, 5 x > 2, x < 8. 7 does fit in, so 3,5, 7 can form a triangle. Testing the others in the same, doesn’t form the sides of a triangle. So only set B 3,5,7 could be the side lengths of a triangle.

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