Respuesta :

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

Answer:

[tex]SM=5\ units[/tex]

Step-by-step explanation:

We know that

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

[tex]SM^{2}=SL^{2}+ST^{2}[/tex]

we have

[tex]ST= 3\ units, SL=4\ units[/tex]

substitute the values

[tex]SM^{2}=4^{2}+3^{2}[/tex]

[tex]SM^{2}=25[/tex]

[tex]SM=5\ units[/tex]

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