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Sloan [31]
3 years ago
13

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

Mathematics
2 answers:
NemiM [27]3 years ago
7 0
A² + b² = c²
3² + 4² = c²
9 + 16 = c²
C² = 25
C = 5
so
SM = 5
Sergio039 [100]3 years ago
7 0

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

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The table when completed looks like this:

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We plot these points on the graph: (-2, 4), (-1, 2), (0, 1), (1, 2), (2, 4).

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