The sides of certain triangles are given below. Determine which of them are right triangles.

(i) a = 7 cm, b = 24 cm and c = 25 cm


(ii) a = 9 cm, b = 16 cm and c = 18 cm


(iii) a = 1.6 cm, b = 3.8 cm and c = 4 cm


(iv) a = 8 cm, b = 10 cm and c = 6 cm

(i) a= 7, b= 24, c=25


Here a2=49, b2=576, c2=625


=a2+b2


=49+576


=625=c2


∴ So given triangle is a right angle.


(ii) a=9, b=16, c= 18


Here a2=81, b2= 256, c2= 324


=a2+b2


=81+256


=337 ≠ c2


So given Triangle is not a right angle.


(iii) a=1.6, b=3.8, c= 4


Here a2=2.56, b2= 14.44, c2= 16


=a2+b2


=2.56+14.44


=17 ≠ c2


So given Triangle is not a right angle.


(iv) a=8, b=10, c= 6


Here a2=64, b2= 100, c2= 36


=a2+c2


=64+36


=100 = b2


So given Triangle is a right angle.


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