The sides of certain triangles are given below. Determine which of them right triangles are (a – 1) cm, 2√???? cm, (a + 1) cm
The sides of certain triangles are given below. Determine which of them right triangles are (a – 1) cm, 2√???? cm, (a + 1) cm

Answer:

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.

P = (a-1) cm, q = 2 √???? ???????? ???????????? ???? = (???? + 1) ????????

????2 + ????2 = (???? − 1) 2 + (2√????) 2

=>????2 + 1 − 2???? + 4????

=>????2 + 1 + 2????

=>(???? + 1) 2

????2 = (???? + 1) 2

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

Thus, the given triangle is right-angled.