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Lyrx [107]
3 years ago
5

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

Mathematics
2 answers:
alexira [117]3 years ago
7 0

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

vovikov84 [41]3 years ago
7 0

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)

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