1.

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

Answer»

(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 ≠ c

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 a= 64, b2 =100, c2 = 36 

= a2 + c2 

= 64 +36 

= 100 = b

So given Triangle is a right angle.



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