Question

If the length of a leg of a right triangle is 25 and the length of the hypotenuse is 35, what's the length of the other leg, to the nearest tenth?

Answer 1

Answer:

24.5

Step-by-step explanation:

using Pythagorean theorem

$a^{2} +b^{2} =c^{2}$

Since we know the hypotenuse, we can change up the theorem into $c^{2} -b^{2} =a^{2}$

$35^{2} -25^{2} =a^{2}$

1225-625=$a^{2}$

$\sqrt{a^{2} } =24.5$