Solve for the unknown of the following right triangles.
1. B = 37°, a = 53
2. A = 56°, c = 84
Answers
Answer:
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Step-by-step explanation:
(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.
Answer:
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Step-by-step explanation:
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