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One of the legs of a right triangle measures 13 cm and its hypotenuse measures 17 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

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upandover

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!

Aisin

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)

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