Sides of the triangles are given below which of these is a right triangle?
1cm, 2cm, 3cm
4cm, 3cm , 7cm
6cm, 8cm, 10cm
1cm, 4cm , 5cm
Answers
Answer:
(i) Given, a=7,cm,b=24cm and c=25cm
c
2
=a
2
+b
2
[ By using Pythagoras theorem ]
c
2
=7
2
+24
2
c
2
=49+576
c
2
=625
∴ c=25cm
Hence, the given triangle is right angled triangle.
(ii) given, a=9cm,b=16cm and c=18
c
2
=a
2
+b
2
[ By using Pythagoras theorem ]
c
2
=9
2
+16
2
c
2
=81+256
c
2
=337
∴ c=18.35cm
Hence, the given triangle is not right angled triangle.
(iii) given, a=1.6,cm,b=3.8cm and c=4cm
c
2
=a
2
+b
2
[ By using Pythagoras theorem ]
c
2
=(1.6)
2
+(3.8)
2
c
2
=2.56+14.44
c
2
=17
∴ c=4.12cm
Hence, the given triangle is not right angled triangle.
(iv) given, a=8,cm,b=10cm and c=6cm
b
2
=a
2
+c
2
[ By using Pythagoras theorem ]
b
2
=(8)
2
+(6)
2
b
2
=64+36
b
2
=100
∴ b=10cm
Hence, the given triangle is right angled triangle.
(i) Given, a=7,cm,b=24cm and c=25cm
c
2
=a
2
+b
2
[ By using Pythagoras theorem ]
c
2
=7
2
+24
2
c
2
=49+576
c
2
=625
∴ c=25cm
Hence, the given triangle is right angled triangle.
(ii) given, a=9cm,b=16cm and c=18
c
2
=a
2
+b
2
[ By using Pythagoras theorem ]
c
2
=9
2
+16
2
c
2
=81+256
c
2
=337
∴ c=18.35cm
Hence, the given triangle is not right angled triangle.
(iii) given, a=1.6,cm,b=3.8cm and c=4cm
c
2
=a
2
+b
2
[ By using Pythagoras theorem ]
c
2
=(1.6)
2
+(3.8)
2
c
2
=2.56+14.44
c
2
=17
∴ c=4.12cm
Hence, the given triangle is not right angled triangle.
(iv) given, a=8,cm,b=10cm and c=6cm
b
2
=a
2
+c
2
[ By using Pythagoras theorem ]
b
2
=(8)
2
+(6)
2
b
2
=64+36
b
2
=100
∴ b=10cm
Hence, the given triangle is right angled triangle.