What is the relationship between the hypotenuse and the short leg of a 30º–60º–90º triangle? The hypotenuse is:
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Answer:
D) b =
Step-by-step explanation:
First, move all the terms that do not include b to the left side with S:
S = 2ab + 2bc + 2ac
S - 2ac = 2ab + 2bc
Now, factor out 2b from the right side:
S - 2ac = 2b(a + c)
Divide both sides by 2(a + c):
b =
Finally, multiply out the denominator:
b =