MagicE367914 MagicE367914
  • 03-11-2022
  • Mathematics
contestada

A right triangle has legs that are 5 cm and 7 cm long what is the length of the hypotenuse 1.√122.√243.√74 4.√144

Respuesta :

SarielR374621 SarielR374621
  • 03-11-2022

Answer:

3. √74

Explanation:

By the Pythagorean theorem, the length of the hypotenuse can be calculated as:

[tex]c=\sqrt[]{a^2+b^2}[/tex]

Where c is the hypotenuse and a and b are the lengths of the legs.

So, replacing a by 5 and b by 7, we get:

[tex]\begin{gathered} c=\sqrt[]{5^2+7^2} \\ c=\sqrt[]{25+49} \\ c=\sqrt[]{74} \end{gathered}[/tex]

Therefore, the answer is 3. √74

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