Question

Geometry Find the length of the third side. If necessary, write in simplest radical form.

Answer 1

`4` is the length of the third side

Explanation:

Using the Pythagorean theorem,

`a^(2) + b^(2) = c^(2) \\3^(2) + \sqrt{7 ^(2) } = c^(2) \\\ 9 + 7 = c^(2)`

Hence the length of the third side is,

`√(16) = c\\4 = c`

Answer 2

4 units

Explanation:

Given triangle is a right-angled triangle. To find the unknown side, use Pythagorean theorem.

Here the unknown side is the hypotenuse.

hypotenuse² = leg₁² + leg₂²

`\sf =(√(7))^2+3^2\\\\=7 + 9 \\\\=16`

`\sf hypotenuse = √(16)`

`\sf =√(4*4)\\\\= 4`