Math, asked by DharmrajGupta, 9 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...

$<html><head><style>h1{text-transform:uppercase;margin-top:90px;text-align:center;font-family:Courier new,monospace;border:3px solid rgb(60,450,500);border-top:none;width:90%;letter-spacing:-6px;box-sizing:border-box;padding-right:5px;border-radius:6px;font-size:35px;font-weight:bold;}h1 span{position:relative;display:inline-block;margin-right:3px;}@keyframes shahir{0%{transform: translateY(0px) rotate(0deg);}40%{transform: translateY(0px) rotate(0deg);}50%{transform: translateY(-50px)rotate(180deg);;}60%{transform: translateY(0px)rotate(360deg);;}100%{transform: translate(0px)rotate(360deg);;}}h1 span{animation: shahir 3s alternate infinite linear;}h1 span:nth-child(1){color:lime;animation-delay: 0s;}h1 span:nth-child(2){color:lightmaroon;animation-delay: 0.2s;}h1 span:nth-child(3){color:red;animation-delay:0s;}h1 span:nth-child(4){color:green;animation-delay: 0.4s;}h1 span:nth-child(5){color:blue;animation-delay: 0.5s;}h1 span:nth-child(6){color:purple;animation-delay: 0.3s;}</style><meta name="viewport" content="width=device-width" ></head><body><center><div><h1>Aliya♥</h1></div></center></body></html>$

Previous Question

Next Question

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