Question

find if the triple is a pythagorean triple 27,36,45​

Answer 1

Answer:

All we need to check is

is

${27}^{2} + {36}^{2} = {45}^{2} \\ (9 \times 3) {}^{2} + {(9 \times 4)}^{2} = {(9 \times 5)}^{2} \\ {9}^{2} \times {3}^{2} + {9}^{2} \times {4}^{2} = {9}^{2} \times {5}^{2} \\ {3}^{2} + {4}^{2} = {5}^{2} \\ 9 + 16 = 25 \\ 25 = 25$

Which is true , so it is a Pythagoras triple .

Answer 2

Yes, 27,36,45 triple is a Pythagorean triple.

Step-by-step explanation:

Given : Triple 27,36,45.

To find : If the triple is a Pythagorean triple ?

Solution :

The Pythagorean triple is $H^2=P^2+B^2$

where, H is the longest side and P and B are other two sides.

So, H=45 , P=36 and B=27

Substitute in the formula if it satisfy then it is Pythagorean triple,

$(45)^2=(36)^2+(27)^2$

$2025=1296+729$

$2025=2025$

Yes, 27,36,45 triple is a Pythagorean triple.

#Learn more

Is a 4,11,13 are pythagorean triple​.

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