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If the sides of a triangle are 6 cm, 8 cm and 10 cm, respectively, then determine whether the triangle is a right angle triangle or not. - Geometry

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If the sides of a triangle are 6 cm, 8 cm and 10 cm, respectively, then determine whether the triangle is a right angle triangle or not.

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Solution

The sides of the triangle are 6 cm, 8 cm and 10 cm.

The longest side is 10 cm.

(10)2 = 100                                                     ….(i)

Now, the sum of the squares of the other two sides will be,

(6)2 + (8)2 = 36 + 64 = 100                              ….(ii)

(10)2 = (6)2 + (8)2                              ….. from (i) and (ii)

By the converse of Pythagoras theorem:

The given sides form a right angled triangle.

Concept: Right-angled Triangles and Pythagoras Property
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