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To find the lengths of a right triangle, we can use what is called Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the legs of the triangle and c is the hypotenuse.
13^2 + b^2 = 17^2
169 + b^2 = 289
b^2 = 120
b = 11.0 cm
The length of the other leg of the triangle is 11.0 cm (rounded).
Hope this helps!
Formula : [tex]a^{2} + b^{2} = c^{2}[/tex], where a;b are the 2 legs, c is the hypotenuse
Replace 13 and 17 in : [tex]13^{2} +b^{2} = 17^{2}[/tex]
[tex]b^{2} = 289 - 169 = 120[/tex]
[tex]b = \sqrt{120} = 11.0[/tex] (already rounded to nearest tenth)