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

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

Substituting of the given value above equation we get

Step-by-step explanation:

Given:

Expression for Pythagorean theorem:

By Pythagorean theorem (applied to right triangles only):

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

Solving for hypotenuse i.e. in the given expression

⇒

⇒

Taking square root both sides:

⇒

∴ (Answer)

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step-by-step explanation: