geometry

posted by .

In an isosceles trapezoid, the longest base is 11", a leg is 5", and the height is 4".

Find the length of the shorter base of the trapezoid.

  • geometry -

    The non-parallel sides of an isosceles
    trapezoid are equal and form congruent rt triangles when the altitude is drawn. The base of the rt tiangles can be calculated:

    X^2 + Y^2 = Z^2,
    X^2 + 4^2 = 5^2,
    X^2 + 16 = 25,
    X^2 = 25 - 16,
    X^2 = 9,
    X = 3.

    2X + B2 = B1,
    2*3 + B2 = 11,
    6 + B2 = 11,
    B2 = 11 - 6,
    B2 = 5.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. geometry

    An isosceles trapezoid has base angles equal to 45 and bases of lengths 6 and 12. Find the area of the trapezoid.
  2. math

    isosceles trapezoid with a perimeter of 52 yards the measure of one base is 10 yards greater than the other base the measure of each leg is 3 yards less than twice the length of the shorter base
  3. Math

    The area of a trapezoid is 66 sq units. The length of its longer base is 4 units longer than the length of its shorter base, and its height is 7 units longer than the length of its shorter base. Find the length of each base and the …
  4. Geometry

    1. What is the base and the height of the rectangle if the area is 216 and the perimeter is 66?
  5. Please help with a trapezoid - circle problem

    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 …
  6. geometry.

    In the diagram, a trapezoid is shown with x=36 and y=56. Find the area of the trapezoid. It's an isosceles triangle with base angles of 60°.
  7. Math

    isosceles trapezoid with a perimeter of 52 meters; one base is 10 meters greater than the other base; the measure of each leg is 3 less than twice the base of the shorter base
  8. Algebra

    One base of trapezoid AGIE is four less than three times the other shorter base. The height of the trapezoid is one half of the shorter base. The area of the trapezoid is 210 square inches. Find the lengths of the bases and the height.
  9. Algebra

    The lenght of one base of a trapezoid is 19 less than five times the length of the other base. If the trapezoid has a height of 18 feet and an area of 477 ft2, find the length of the longer base
  10. geometry please help!!!!

    The base of a right prism is isosceles trapezoid with legs c=d = 5 cm, bases a=8 cm and b=14 cm, and altitude of the trapezoid k=4 cm. The height of the prism h=10 cm. Find: Lateral area

More Similar Questions