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

Answer:

$SM=5\ units$

Step-by-step 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

$SM^{2}=4^{2}+3^{2}$

$SM^{2}=25$

$SM=5\ units$