The diagonals of a trapezoid are perpendicular and have lengths 8 and 10. Find the length of the median of the trapezoid.

I don't get it... i got as far as the area is 40, and m (median) times the height is 40 as well... please help!

1. well, you're almost there.

mh = 40
m = (8+10)/2 = 9
9h=40
h = 40/9

posted by Steve
2. THANKS ALOT STEVE THANKS ALOT I REALLY APPRECIATE IT!!

posted by Knights
3. The solution is incorrect. 8 and 10 are the diagonals of the trapezoid, not the sides. The solution is far more complex.

posted by hi

posted by Herro
5. but how did u get sqrt41 using similar triangles and finding the area of the triangles inside the trapezoid?

posted by hi
6. What are the cost and consequences of providing the subsidies and welfare

posted by Fezile dube

posted by AoPS

## Similar Questions

1. ### Math could you help this is kinda hard and urgent

The diagonals of a trapezoid are perpendicular and have lengths 8 and 10. Find the length of the median of the trapezoid. I tried figuring this out... by the way i got median times height is 40 and also notice that we are talking
2. ### Geometry

The diagonals of a trapezoid are perpendicular and have lengths 8 and 10. Find the length of the median of the trapezoid.
3. ### Math

If you solve this you are officially amazing! "The diagonals of a trapezoid are perpendicular and have lengths 8 and 10. Find the length of the median of the trapezoid."
4. ### fd

a trapezoid abcd has parallel sides ab and dc of lengths 8 and 22. If both diagonals AC and BD are of length 17, what is the area of the trapezoid
5. ### geometry!!

Find the lengths of the diagonals of this trapezoid. when the given length for the sides are (-b,c), (b,c),(a,0), (a,0)
6. ### geometry!!

Find the lengths of the diagonals of this trapezoid. when the given length for the sides are (-b,c), (b,c),(a,0), (a,0)
7. ### math

The formula for the area of a trapezoid is A=1/2h(b1+b2) were h is the height of the trapezoid, and b1 and b2 are the base lengths of the trapezoid. Which formula can be used to find the length of b1?
8. ### geometry

The lengths of the bases of the right trapezoid are 9 cm and 18 cm. The length of a longer leg is 15 cm. Find the area of the trapezoid.
9. ### GEOMETRY HELPPPPP MEEEE PLEASSEEEEE!!!

Find the lengths of the diagonals of this trapezoid. trapezoid on a graph with points (-a,0), (-b,c), (b,c), (a,0) negative a and b are on the left side (a is on bottom and b is on top) and positive a and b are on the right side
10. ### geometry

the length of 2 diagonals of a quadrilateral is 10cm and 24cm respectively. both the diagonals are perpendicular bisector of each other. find the length of all sides of the quadrilateral and name it

More Similar Questions