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Q.

The sides of a triangle are given: 7 cm, 24 cm, and 25 cm. Then the triangle is a ____________.

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a

Equilateral triangle

b

Isosceles triangle

c

Scalene Triangle

d

Right-angled triangle

answer is B.

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Detailed Solution

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Let a = 7 cm, b = 24 cm, and c = 25 cm.
Here, the largest side, c = 25 cm
By Pythagorean theorem, we have:

 a2 + b2 = c2

 LHS = (7)2 + (24)2 = 49 + 576 = 625 

RHS = c2 = (25)2 = 625 

 LHS = RHS
Hence, the triangle is a right triangle.

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The sides of a triangle are given: 7 cm, 24 cm, and 25 cm. Then the triangle is a ____________.