 # Question: How Do You Classify Triangles By Sides?

## What makes 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°.

Since, ∠A is 120 degrees, the sum of ∠B and ∠C will be less than 90° degrees..

## How do you categorize a triangle?

Triangles can be classified either according to their sides or according to their angles. All of each may be of different or the same sizes; any two sides or angles may be of the same size; there may be one distinctive angle.

## What is a 45 degree triangle?

A 45 – 45 – 90 degree triangle (or isosceles right triangle) is a triangle with angles of 45°, 45°, and 90° and sides in the ratio of. Note that it’s the shape of half a square, cut along the square’s diagonal, and that it’s also an isosceles triangle (both legs have the same length).

## What are the three different types of triangles?

What are the types of triangle?The sum of angles in any triangle is 180°. … An equilateral triangle has three equal sides and angles. … An isosceles triangle can be drawn in many different ways. … A right-angled triangle has one 90° angle. … A scalene triangle has three different angles and none of its sides are equal in length.More items…

## What is triangle and its types?

Triangles are shapes with three sides. … A triangle’s type depends on the length of its sides and the size of its angles (corners). There are three types of triangle based on the length of the sides: equilateral, isosceles, and scalene. The green lines mark the sides of equal (the same) length.

## Can these 3 sides make a triangle?

No; The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

## Does 5/12/13 make a right triangle?

What is a 5 12 13 Triangle? The 5 12 13 triangle is an SSS special right triangle with the ratio between its side lengths as 5, 12, and 13. It is a common Pythagorean triple that is worth memorizing to save time when dealing with right triangles. The other common SSS special right triangle is the 3 4 5 triangle.

## How do you use the Pythagorean theorem to classify a triangle?

Classifying Triangles by Using the Pythagorean Theorem If you plug in 5 for each number in the Pythagorean Theorem we get 52+52=52 and 50>25. Therefore, if a2+b2>c2, then lengths a, b, and c make up an acute triangle. Conversely, if a2+b2

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

Use the Three Side Lengths to Find Out On the other hand, if a squared plus b squared is less than c squared, the triangle will have an obtuse angle and be obtuse. For example, if you have a triangle with side lengths of 4, 10, and 15, you can plug these lengths into the equation.

## Do these side lengths form a triangle?

All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.

## How many classifications of triangles are there?

seven typesTo learn about and construct the seven types of triangles that exist in the world: equilateral, right isosceles, obtuse isosceles, acute isosceles, right scalene, obtuse scalene, and acute scalene.

## How do you classify a triangle by its sides?

Classifying Triangles by SidesIf all the sides are equal (the same length) then the triangle is EQUILATERAL. … If 2 sides of the triangle are the same length then the triangles is an ISOSCELES triangle. … If all three sides of the triangle are a different length then the triangle is a SCALENE triangle.

## What are 3 ways to classify a triangle by its sides?

Classifying Triangles by Sidesscalene triangle-a triangle with no congruent sides.isosceles triangle-a triangle with at least 2 congruent sides (i.e. 2 or 3 congruent sides)equilateral triangle-a triangle with exactly 3 congruent sides.NOTE: Congruent sides means that the sides have the same length or measure.

## What are two ways to classify triangles?

Triangles are classified, or grouped, in two different ways. One classification distinguishes among the sides, and another by the angles. For a triangle, you can have all three sides congruent (equal measure), or two sides congruent, or no sides congruent.

## How do you classify a triangles by its sides acute obtuse or right?

An acute triangle has three angles that each measure less than 90 degrees. An obtuse triangle is a triangle with one angle that is greater than 90 degrees. A right triangle is a triangle with one 90 degree angle.