MHB Calculate Length of Median on Trapeze (48 cm)

[GVdig]

The two non-parallel sides of the trapeze are 15 cm and 13 cm, the perimeter is 48 cm. Find the length of the median.
I don't know anything about trapezes can someone expain how to do this?
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[skeeter]

The two non-parallel sides of the trapeze are 15 cm and 13 cm, the perimeter is 48 cm. Find the length of the median.
I don't know anything about trapezes can someone expain how to do this?

the median length is the average of the two bases ... let $a$ and $b$ represent the length of each base.

$(a+b) + 13+15 = 48 \implies (a+b) = 20$

can you finish?

 

[GVdig]

I don't think I can, what is 20 exactly?

 

[skeeter]

I don't think I can, what is 20 exactly?

20 is the sum of the lengths of the two parallel bases ... the median, or mid-segment, is the average (mean) of those two base lengths.

 

[GVdig]

So that's the final answer then.

 

[skeeter]

So that's the final answer then.

no ...