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The lengths of the legs of a right triangle are given. Find the hypotenuse.a =8. b = 15The length of the hypotenuse, C, is

Sagot :

Solution:

Concept:

To solve the length of the hypotenuse, we will use the Pythagoras theorem below

[tex]\begin{gathered} hypotenus^2=opposite^2+adjacent^2 \\ c^2=a^2+b^2 \\ where, \\ a=8 \\ b=15 \end{gathered}[/tex]

By substituting the values, we will have

[tex]\begin{gathered} c^{2}=a^{2}+b^{2} \\ c^2=8^2+15^2 \\ c^2=64+225 \\ c^2=289 \\ c=\sqrt{289} \\ c=17 \end{gathered}[/tex]

Hence,

The length of hypotenuse C , is

[tex]\Rightarrow c=17[/tex]