Question

Given RS = 6, ST = 3, and SL = 4, find SM.

Answer 1

a² + b² = c²
3² + 4² = c²
9 + 16 = c²
C² = 25
C = 5
so
SM = 5

Answer 2

`SM=5\ units`

Explanation:

We know that

The diagonal SM of the rectangle LMTS is equal to (applying the Pythagoras Theorem)

`SM^(2)=SL^(2)+ST^(2)`

we have

`ST= 3\ units, SL=4\ units`

substitute the values

`SM^(2)=4^(2)+3^(2)`

`SM^(2)=25`

`SM=5\ units`