Question

Find the missing length to the nearest tenth

Answer 1

12.8

Explanation:

lets keep the missing length as c

10^2+8^2=c^2

100+64=c^2

164=c^2

now find the square root of 164=12.8062485=

now round the the nearest tenth (the first one after the decimal)

=12.8

hope this helps

:)

Answer 2

12.8

Explanation:

let the missing length be x

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides , then

x² = 10² + 8² = 100 + 64 = 164 ( take square root of both sides )

x =
`√(164)` ≈ 12.8 ( to the nearest tenth )