Question

29 cm, 20 cm and 21 cm form a right triangle. Check whether
1. 40 cm, 42 cm, 58 cm and
2. 60 cm, 63 cm, 87 cm also form a right triangle or not.​

Answer 1

Answer:

1) NO

2) YES

Step-by-step explanation:

i) 40cm, 42 cm and 58cm

so apply pythogoras theorem

${40 }^{2} + {42 }^{2} = {58}^{2}$

1600+1746 =3364

3346 is not equal to 3364

So a right angle cannot have 40cm, 42cm and 58cm as sides

ii) 60cm,63cm and 87cm

Applying pythogoras theorem

${60 }^{2} + {63}^{2} = {87}^{2}$

3600+3969= 7569

7569=7569

LHS=RHS

So a right angle can have the sides of 60cm, 63cm and 87cm

HENCE PROVED

Answer 2

Answer:

1. No

2. Yes

Step-by-step explanation:

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