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23 votes
Which is the length of the hypotenuse for a right triangle with leg a= 8 cm and leg b= 15 cm? A. 289 cm B. 120 cm O c. 23 cm O D. 17 cm E. 23 cm

User Ankit Acharya
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1 Answer

22 votes
22 votes

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,


c^2=a^2+b^2

Substitute the given values in the above expression.


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

Here, consider only positive sign only.

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

User Austin Downey
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