Question

Pythagorean theorem 19^2 + 21^2=x^2

Answer 1

Answer:

x = 28.32 units.

Step-by-step explanation:

Given:

Longer leg = 21

Shorter leg = 19

Hypotenuse = x

To Find:

Hypotenuse = x = ?

Solution:

Pythagoras Theorem States that

$(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}$

Substituting of the given value above equation we get

$x^{2} =21^{2}+ 19^{2}\\ \\x^{2}=441 + 361\\\\x^{2}=802\\ \therefore x=\pm\sqrt{802} \\\textrm{as x cannot be negative}\\\therefore x=\sqrt{802}\\\\\therefore x=28.319\ units\\\therefore x=28.32\ units$

Answer 2

Answer:

$x=28.32\ units$

Step-by-step explanation:

Given:

Expression for Pythagorean theorem:

$19^2+21^2=x^2$

By Pythagorean theorem (applied to right triangles only):

$c^2=a^2+b^2$

where $c$ represents hypotenuse or the longest side of triangle, while $a$ and $b$ represents the other two sides of the triangle.

Solving for hypotenuse i.e. $x$ in the given expression

$x^2=19^2+21^2$

⇒ $x^2=361+441$

⇒ $x^2=802$

Taking square root both sides:

⇒ $\sqrt{x^2}=\sqrt{802}$

∴ $x=28.32\ units$ (Answer)