Question

Check whether following are Phthogoream triplets or not.
1) 3cm,4cm,5cm
2) 6cm,8cm,10cm
3) 7cm,8cm,9cm
4) 11cm,12cm,13cm
5) 12cm,16cm,20cm
6) 1cm,2cm,5cm
7) 15cm,10cm,8cm
8) 6cm,16cm,12cm
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Answer 1

Answer:

The biggest side is the hypotenuse and other two are sides . put all the numbers into the formula of Pythagoras theorem i.e. H²=P²+S².

Step-by-step explanation:

For example

1) 5²=4²+3²

25=16+9

25=25

thus proved that it is a pythagoram triplet. If it is not equal then it is not pythagoram triplet.

like this do all the numbers.

Hope this will help you

Answer 2

Answer:

• 3cm,4cm,5cm is Pythagoras triplets.
• 6cm,8cm,10cm is Pythagoras triplets.

• 7cm,8cm,9cm is not Pythagoras triplets.
• 11cm,12cm,13cm is not Pythagoras triplets.
• 12cm,16cm,20cm
• 1cm,2cm,5cm
• 15cm,10cm,8cm
• 6cm,16cm,12cm

Step-by-step explanation:

Pythagoras Theorem:

In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.  

1)

$(5)^2 = 25\\(3)^2 + (4)^2 = 9 + 16 = 25$

So, $(5)^2 = (3)^2 + (4)^2$

So, 3,4,5 is Pythagoras triplets.

2) $(10)^2 = 100\\ (6)^2 + (8)^2 = 36 + 64 = 100$

So, $(10)^2 = (6)^2 + (8)^2$

So,  6cm,8cm,10cm is Pythagoras triplets.

3)

$(9)^2 = 91\\ (7)^2 + (8)^2 = 49 + 64 = 113$

So, $(9)^2 \neq (7)^2 + (8)^2$

So,  6cm,8cm,10cm is not Pythagoras triplets.

4)

$(13)^2 = 169\\ (11)^2 + (12)^2 = 121 + 144 = 265$

So, $(13)^2 \neq (11)^2 + (12)^2$

So,  11cm,12cm,13cm is not Pythagoras triplets.