Question

Find the length of the third side to the nearest tenth.
8
4

Answer 1

6.9

Explanation:

a^2+b^2=c^2

a^2+ 4^2 =8^2

a^2+ 16= 64

a^2= 48

`√(a)\\` =
`√(48)`

a= 6.92

Answer 2

6.9

Explanation:

Let x be the length of the remaining side.

By the Pythagorean theorem,

4² + x² = 8²

x² = 8² - 4² = 48

x = √48 = 4√3 ≅ 6.9