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>>The Triangle and Its Properties

>>Recalling Basics of Triangles and Its Types

>>The angles of some triangles are given b

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The angles of some triangles are given below. Classify each triangle acute-angled,obtuse-angled or right-angled on the basis of its angles.

a. 90

∘

,45

∘

,45

∘

b. 60

∘

,60

∘

,60

∘

c. 80

∘

,60

∘

,40

∘

d. 92

∘

,50

∘

,38

∘

e. 120

∘

,50

∘

,10

∘

f. 90

∘

,35

∘

,55

∘

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Solution

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A triangle with angles less than 90

∘

are called acute-angled triangle.

A triangle with 90

∘

angle is called right-angled triangle.

A triangle with angle greater than 90

∘

are obtuse-angled triangle.

A triangle with all equal angles is called equilateral triangle.

Using the above definitions to classify the triangles in the question:

a) 90

∘

,45

∘

,45

∘

-Right angled triangle.

b) 60

∘

,60

∘

,60

∘

- equilateral triangle (acute angle)

c) 80

∘

,60

∘

,40

∘

- acute angled triangle (all angles <90

∘

)

d) 92

∘

,50

∘

,38

∘

- obtuse angled triangle (one angle >90

∘

)

e) 120

∘

,50

∘

,10

∘

- obtuse angled triangle (one angle >90

∘

)

f) 90

∘

,35

∘

,55

∘

- right angled triangle (angle =90

∘

)