Respuesta :

Given data:

The first leg of the triangle is a=8 cm.

The second leg of the ttriangle is b=15 cm.

The expression for Pythagoras theorem is,

[tex]c^2=a^2+b^2[/tex]

Substitute the given values in the above expression.

[tex]\begin{gathered} c^2=(8cm)^2+(15cm)^2_{} \\ c^2=289cm^2 \\ c=17cm,\text{ -17 cm} \\ =17\operatorname{cm} \end{gathered}[/tex]

Here, consider only positive sign only.

Thus, the hypotenuse length is 17 cm, so option (D) is correct.

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