Posted by **Knights** on Monday, February 18, 2013 at 7:01pm.

A circle with radius 3 is inscribed in a isosceles trapezoid with legs of 10. Find the length of the smaller base.

When I draw a diagram, calling the trapezoid ABCD with A and D at the bottom, I see that the length from where the altitude from B and C hits AC to D is 8 from the pythagorean theorem. But the 6 looks a lot bigger. Also, how to find the smaller base?!

- Please help with a trapezoid - circle problem -
**Henry**, Tuesday, February 19, 2013 at 8:18pm
AB = CD = 10.

A = D = 45o.

h = 10*sin45 = 7.07 = Altitude

CF = h/sin45 = 7.07/sin45 =10= Diagonal

BC = EF = CF*cos45 = 10*cos45 = 7.07 =

Short base.

- Please help with a trapezoid - circle problem -
**Henry**, Wednesday, February 20, 2013 at 2:53pm
Correction:

AB = CD = 10.

h = Diameter = 2*3 = 6=Ht. or altitude.

Draw altitudes CE and BF

Draw diagonal CF which bisects BCE and

BFE. Therefore, CFE = 45o

tan45 = h/BC = 6/BC

BC = 6/tan45 = 6. = Shortest base.

## Answer this Question

## Related Questions

- GEOMETRY CIRCLE - 1.An isosceles triangle with each leg measuring 13 cm is ...
- GEOMETRY CIRCLES PLEASE - HELP ME PLEASE. 1.An isosceles triangle with each leg...
- GEOMETRY CIRCLES PLEASE - 1.An isosceles triangle with each leg measuring 13 cm ...
- Calculus - SOS...help!!! please email me at 969e221 at g mail. com here is the ...
- geometry - An isosceles trapezoid with that bases 16 in and 34 in are inscribed ...
- geometry. - In the diagram, a trapezoid is shown with x=36 and y=56. Find the ...
- geometry - In an isosceles trapezoid, the longest base is 11", a leg is 5", and ...
- Math - one base of a trapezoid is 10 ft. long, the altitude is 4 ft., and the ...
- Math: PreCal: Triangles - An isosceles triangle is inscribed in a circle. The ...
- geometry maths - a circle of radius 1 is inscribed in a square. A smaller circle...