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

Question

asked May 24, 2023 50.3k views

1 Answer

Loup · Answer 1 · 2023-05-29T12:35:57+0000

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,

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.