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