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You are here: Home / Maths / Acute Angled Triangle | Obtuse Angled Triangle | Right Angled Triangle

Arinjay Academy / July 30, 2018

Acute Angled Triangle | Obtuse Angled Triangle | Right Angled Triangle

 Lets learn about the Acute Angled triangle (AAT), Right Angle Triangle (RAT) and Obtuse Angled Triangle in this Post 

Acute Angled Triangle

When all the Angles of a Triangle are less than 90°, we call such a triangle as an AAT .

For Example – ∆ ABC is an AAT as all the three angles i.e, ∠BAC, ∠ACB and ∠ABC are less than 90° (Acute Angle).

Right Angled Triangle – RAT

When one angle of a triangle is 90° and the other two angles are acute ( less than 90°) then we call such a triangle as a RAT.

For Example – In ∆ ABC   ∠BAC is 90° ( right angle ) and ∠ACB and ∠ABC are less than 90° ( acute angle ).

Obtuse angled triangle

If one angle of a triangle is obtuse ( greater than 90°) and other two are acute ( less than 90°), we call such a triangle as Obtuse angled triangle.

For Example – ∆ABC is an Obtuse  Angled triangle as ∠BAC is 110° (obtuse angle) and ∠ACB and ∠ABC are acute angle (less than 90°). 

EXAMPLE 1

If the measure of the angle of the triangle are 56 ˚ , 49 ˚ and 75 ˚, then the triangle is —- Triangle ?

EXPLANATION

Here,
56 ˚ < 90 ˚
49 ˚ < 90 ˚
75 ˚ < 90 ˚

Since, all the three angles of triangle are  less than 90˚, hence, the triangle is An AAT. 

EXAMPLE 2

If the measure of the angle of the triangle are 90 ˚ , 54 ˚ and 36 ˚, then the triangle is?

EXPLANATION

Here,
90 ˚ = 90 ˚
54 ˚ < 90 ˚
36 ˚ < 90 ˚

Since, one angle is 90˚ and the other two angles are acute angle (less than 90˚, hence, the triangle is a Right Angled Triangle.

 

EXAMPLE 3

If the measure of the angle of the triangle are 93 ˚ , 55 ˚ and 32 ˚, then the triangle is?

EXPLANATION

Here,
93 ˚ > 90 ˚
55 ˚ < 90 ˚
32 ˚ < 90 ˚

Since, one angle of a triangle is obtuse ( greater than 90˚ ) and other two are acute angles (less than 90˚)
Hence, the triangle is an Obtuse Angled Triangle 

Learn More..

  • What is Complementary Angles
  • What is Supplementary Angles
  • Equilateral Triangle, Isosceles Triangle & Scalene Triangle
  • Angle Sum Property of a Triangle

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Maths Class 7

Filed Under: Maths, Maths Class 7 Tagged With: acute angle, Acute angle triangle, acute angled triangle, acute triangle, angles in a triangle, different triangles, different types of triangles, math worksheets, obtuse angle, Obtuse angle triangle, obtuse angled triangle, obtuse triangle, Right angle triangle, right angled triangle, right triangle, triangle, Type of triangles on the basis of angles, types of triangles

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