Question

Find the missing length of the triangle.
4 yd
12; yd
2
yd

Answer 1

Missing length =
`11(2)/(3)`

Explanation:

By Pythagoras theorem,

Square of the longest length = Sum of square of smaller lengths of the triangle

`((37)/(3))^2=a^2+4^2`

a² = 152.11 - 16

a² = 136.11

a = √136.11

a = 11.67 Or
`11(2)/(3)`

Therefore, missing length of the given triangle will measure
`11(2)/(3)` yd.