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

24.5

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`