# geometry

posted by .

the bases of a trapezoid are 10 and 12 and the nonparallel sides are 2 and 3. How far must each of the nonparallel sides be extended to form a triangle?

• geometry - correct? -

I don't think the figure described is a trapezoid.

Consider the figure as set up with the lower base drawn from (0,0) to (12,0)

Let the upper base go from (a,b) to (a+10,b)

Then we have two triangles at the sides such that

a^2 + b^2 = 4
a^2 + (2-a)^2 = 9

This gives a = -1/4, which means that both slanting sides lean to the left.

Have I missed something here?

## Similar Questions

1. ### Geometry

I need help... Did I end up with the correct answer?
2. ### geometry

The trapezoid in Exam Figure 6 has equal nonparallel sides. The upper base is 6, the lower base is 16, and the diagonal is 12. What is the altitude of the trapezoid?
3. ### GEOMETRY

the trapezoid has equal nonparallel sides the upper base is 6. the lower base is 16. and the diagonal is 12. what is the attitude of the trapezoid?
4. ### geometry

the longer base of an isosceles trapezoid is 14 feet. the nonparallel sides are each 10 feet long and the length of diagonal is 16 feet. find the measure of a base angle
5. ### Geometry

The bases of a trapezoid are 10 and 12 and the nonparallel sides are 2 and 3. How far must each of the nonparallel sides be extended to form a triangle?
6. ### Math

Prove algebraically that the line joining the midpoints of the nonparallel sides of a trapezoid is parallel to the bases of the trapezoid.
7. ### Geometry

I have two questions... #1 if the radius of the two areas is 12in find the length of a chord of an arc of 45, 35, and 60 degrees. #2 the bases of a trapezoid are 30in and 9in and the nonparallel sides are 10in and 17in. Find the area.
8. ### Geometry

I have two questions... #1 if the radius of the two areas is 12in find the length of a chord of an arc of 45, 35, and 60 degrees. #2 the bases of a trapezoid are 30in and 9in and the nonparallel sides are 10in and 17in. Find the area.
9. ### math

The perimeter of an isosceles trapezium is 134 cm and the bases are 54 cm and 30 cm in length of the nonparallel sides of the trapezium and its area.
10. ### Math

A trapezoid has parallel sides 13 and 21 cm long. The longer of the two nonparallel sides is 17 cm and the shorter is perpendicular to a parallel side. What is the area of the trapezoid?

More Similar Questions