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.

## How do you know if a triangle is obtuse by side lengths?

3. Use the side lengths to classify the triangle as acute, right, or obtuse. Classify the triangle as acute, right, or obtuse. Compare the square of the length of the longest side with the sum of the squares of the lengths of the two shorter sides.

## How do you know if a triangle is acute obtuse or right based on side lengths?

Correct answer: To determine whether the triangle is acute, right, or obtuse, add the squares of the two smaller sides, and compare the sum to the square of the largest side. Since this sum is greater, the triangle is acute.

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## What is a obtuse triangle in geometry?

An obtuse triangle is a triangle in which one of the angles is an obtuse angle. (Obviously, only a single angle in a triangle can be obtuse or it wouldn’t be a triangle.) A triangle must be either obtuse, acute, or right.

## How do you find an acute angle of a triangle?

Method 1: If the measure of angles of the triangle are given, then check the measure of its angles. If all the three angles of the triangle measures less than 90° degrees, then the given triangle is an acute angled triangle.

## What is in obtuse angle?

Obtuse angle is any angle greater than 90°: Straight angle is an angle measured equal to 180°: Zero angle is an angle measured equal to 0°: Complementary angles are angles whose measures have a sum equal to 90°: Supplementary angles are angles whose measures have a sum equal to 180°.

## How do you find the length of an obtuse triangle?

You can calculate an obtuse triangle using the lengths of the triangle’s sides. Square the length of both sides of the triangle that intersect to create the obtuse angle, and add the squares together. For example, if the lengths of the sides measure 3 and 2, then squaring them would result in 9 and 4.

## Do obtuse triangles add up to 180?

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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## What type of triangle has side lengths 2 √ 12 and √ 19?

If the side lengths are 2, √12, and √19, the triangle is SCALENE, since all the sides have different lengths.

## Does 12 16 and 20 make a right triangle?

There is a fourth category of triangles in which one of interior angles is of 90∘. It is called right triangle. It can be either be Scalene or Isosceles. 1) 12,16,20: 202=162+122: True, hence right triangle.

## Does 9 12 and 15 make a right triangle?

Which set of sides could make a right triangle? Explanation: By virtue of the Pythagorean Theorem, in a right triangle the sum of the squares of the smaller two sides equals the square of the largest side. Only 9, 12, and 15 fit this rule.

## Does 8 15 and 17 make a right triangle?

Yes, 8, 15, 17 is a Pythagorean Triple and sides of a right triangle.

## How do you find an obtuse angle?

To find if a triangle is obtuse, we can look at the angles mentioned. If one angle is greater than 90° and the other two angles are lesser along with their sum being lesser than 90°, we can say that the triangle is an obtuse triangle. For example, ΔABC has these angle measures ∠A = 120°, ∠A = 40°, ∠A = 20°.

## How do you do an obtuse triangle?

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.