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The sides of certain triangles are given below. Determine which of them right triangles are. (i) 9cm, 16cm, 18cm (ii) 7cm, 24cm, 25cm

Answers:

Given,

The sum of the two sides must be equal to the square of the third side.

The three sides of the triangle – a, b and c.

(i)

a = 9 cm

b = 16 cm

c = 18 cm

????2 + ????2 = 92 + 162

=>81 + 256

=>337

????2 = 192

=>361

????2 + ????2 ≠ ????2

Thus, the given triangle is not right-angled.

 

(ii)

a =7 cm

b = 24 cm

c = 25 cm

????2 + ????2 = 72 + 242

=>49 + 576

=>625

????2 = 252

=>625

????2 + ????2 = ????2

Thus, the given triangle is a right-angled.