Is the triangle with sides 25 cm, 5 cm and 24 cm a right triangle? Give reasons for your answer. - Mathematics

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Sum

Is the triangle with sides 25 cm, 5 cm and 24 cm a right triangle? Give reasons for your answer.

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Solution

Let us assume that,

A = 25 cm

B = 5 cm

C = 24 cm

Now, Using Pythagoras Theorem,

We have,

A2 = B2 + C2

B2 + C2 = (5)2 + (24)2

B2 + C2 = 25 + 576

B2 + C2 = 601

A2 = 600

600 ≠ 601

A2 ≠ B2 + C2

Since the sides does not satisfy the property of Pythagoras theorem, triangle with sides 25 cm, 5 cm and 24 cm is not a right triangle.

Concept: Application of Pythagoras Theorem in Acute Angle and Obtuse Angle
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APPEARS IN

NCERT Mathematics Exemplar Class 10
Chapter 6 Triangles
Exercise 6.2 | Q 1 | Page 63
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