3 years ago

What is the length of the the midsegment of a trapezoid with bases of length and ?

1 answer:

3 0

Answer:

The midsegment of a trapezoid is parallel to each base, and its length is one-half the sum of the lengths of the bases.

Step-by-step explanation:

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AleksandrR [38]

Answer:

$\sqrt{(n-m)(n+m)}$ & $-\sqrt{(n-m)(n+m)}$

Step-by-step explanation:

1) Subtract $m^{2}$ from both sides. This should leave you with $x^{2}=n^{2}-m^{2}$ .

2) Square root both sides. This should leave you with $x=\sqrt{n^2-m^2}$ & $x=-\sqrt{n^2-m^2}$ .

You can stop here if this is what the problem is asking for. However, it is not fully simplified.

3) Factor the equation. This should leave you with $\sqrt{(n-m)(n+m)}$ & $-\sqrt{(n-m)(n+m)}$ .

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3 years ago

What is the length of the the midsegment of a trapezoid with bases of length and ​?