Algebra-Trig help asap

A rhombus has sides of 5 cm each and one diagonal is 6 cm long. Find the area of the rhombus.

  1. 👍
  2. 👎
  3. 👁
  1. make a sketch
    in a rhombus, the diagonals right-bisect each other.
    So we get 4 congruent right angled triangles.
    By Pythagoras , it is easy to see that each triangle has sides 3,4, and 5
    So the other diagonal is 8 units long.
    The area of a rhombus is (1/2)(product of the diagonals)
    = (1/2)(6)(8) = 24

    1. 👍
    2. 👎
  2. the diagonals of a rhombus measure 8cm and 6cm what is the lengh of the rhombus

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. geometry

    The coordinates for a rhombus are given as (2a, 0), (0, 2b), (–2a, 0), and (0, –2b). Write a plan to prove that the midpoints of the sides of a rhombus determine a rectangle using coordinate geometry. Be sure to include the

  2. geometry

    the lengths of the diagonal of a rhombus are 2 in and 5 in. find the measure of the angles of the rhombus to the nearest degree. if it helps, we are learning how to use tangent right now!

  3. Pre-Calculus

    A parallelogram has adjacent sides 7 cm and 15 cm. If the shorter diagonal is 10 cm long, find the length of the longer diagonal.

  4. Math

    The larger angles of a rhombus are twice the smaller angle of the rhombus. If the shorter diagonal is 20, find the perimeter of the rhombus.

  1. Math

    In rhombus DEFG, if m

  2. Geometry

    A parallelogram has sides measuring 7 and 9. Its shorter diagonal has a length of 8. Find the measure of the longer diagonal.

  3. Geometry

    Two sides of a rhombus form a 120º angle. The length of each side is 6 in. Explain how to find the area of the rhombus, and then calculate the area. Leave your answer in simplest radical form.

  4. geometry

    A sign is in the shape of a rhombus with a 60° angle and sides of 9 cm long. Find its area to the nearest tenth

  1. Math

    Which of the following statements is not always true? A. In a rhombus, the diagonals bisect opposite angles. B. In a rhombus, the diagonals are perpendicular. C. In a rhombus, the diagonals are congruent. D. In a rhombus, all four

  2. Analytic Geometry

    A square is a quadrilateral with four equal sides. The area of a square is equal to square of its sides. The diagonal of a square is a line segment joining any two non-consecutive side. Find the area of a square and the length of

  3. maths

    A triangle has sides 11cm long. The shorter diagonal of rhombus is 8cm long. Find the size of one of the smallest angle

  4. Math

    Each of the following statements describes a quadrilateral. Which of the quadrilaterals are NOT parallelograms? Choose three. 1: The diagonals are congruent, but the quadrilateral has no right angles. 2: Two consecutive sides are

You can view more similar questions or ask a new question.