given: fpst is a trapezoid,
fp=st, m∠f=45°,
pf=8, ps=10
find: the midsegment mn.

Step-by-step explanation:

Given:

FPST is a trapezoid,

FP=ST, m∠F=45°,

PF=8, PS=10

To Find:

The Length of the mid-segment MN.

Solution:

This trapezoid FPST is isosceles, because FP=ST

Also

Draw the height PH. Triangle FPH is right triangle with two angles of measure 45°. This means that

FH = HP --------------(1)

By the Pythagorean theorem,

From (1)

Since trapezoid FPST is isosceles, the base FT has the length

Then the length of the mid-segment is

where did you get them? if you picked from the grass, is is probably poisonous.

step-by-step explanation:

113.1

step-by-step explanation:

v=4

3πr3=4

3·π·33≈113.09734