Math, asked by DharmrajGupta, 8 months ago

determine (5,12,13) is a Pythagorean triplet or not

Answers

Answered by BabyBold07

Question:

Determine (5,12,13) is a Pythagorean triplet or not??

To find:

The verification of ( 5 , 12 , 13 ) is a Pythagorean triplet.

Given:

Hypotenuse = 13 cm

Height = 12cm

Base = 5cm

Concept:

we know that the Pythagorean triplet can be found by using the formula

$h^{2} = p^{2} + b^{2}$

where ;

h = hypotenuse

p = height

b = base

Solution:

$13^{2} = 12^{2} + 5^{2}$

$13 = \sqrt{12^{2} + 5^{2}}$

$13 = \sqrt{144 + 25}$

$13 = \sqrt{169}$

$13 = 13$

Conclusion:

Here the LHS is equal to the RHS , so it is proved that the (5,12,13) is Pythagorean triplet...

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