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What's the length of the hypotenuse of a right triangle if the length of one leg is 7 units and the length of the other leg is 14 units?

Sagot :

ANSWER:

The hypotenuse is

[tex]7\sqrt[]{5}=15.65[/tex]

STEP-BY-STEP EXPLANATION:

In this case we can calculate the value of the hypotenuse by means of the Pythagorean theorem.

[tex]\begin{gathered} h^2=a^2+b^2 \\ a=7 \\ b=14 \end{gathered}[/tex]

replacing

[tex]\begin{gathered} h^2=7^2+14^2 \\ h^2=49+196 \\ h=\sqrt[]{245} \\ h=7\sqrt[]{5}=15.65 \end{gathered}[/tex]

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