Maths

The adjacent sides of parallelogram are 26cm and 28cm and one of its diagonal is 30cm. Find the area of the parallelogram by using heron's formula

  1. 👍 2
  2. 👎 0
  3. 👁 1,393
  1. You will have 2 congruent triangles, so we need to find only the area of one of them

    Heron's formula:
    Area = √(s(s-a)(s-b)(s-c)) , were a, b, and c are the sides and s= half the perimeter

    s = (26+28+30)/2 = 42
    s-a = 16
    s-b = 14
    s-c = 12
    area = √(42x16x14x12) = √112896 = 336

    so the area of the whole thing = 672

    1. 👍 6
    2. 👎 6
  2. Thanks

    1. 👍 3
    2. 👎 2
  3. Thankyou

    1. 👍 0
    2. 👎 3
  4. The answer in my book is 336cm2

    1. 👍 1
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Geometry

    justify the last two steps of the proof. Given: ABCD is a parallelogram. Prove: triangleABC = triangleCDA 1. ABDC is a parallelogram 1. given 2. AB = DC and BC =DC 2. opposite sides of a parallelogram are congruent 3. AC = CA 3. ?

  2. Geometry

    Based on the information in the diagram, can you prove that the figure is a parallelogram? Explain. a. Yes; opposite sides are congruent. b. Yes; opposite angles are congruent. c. No; you cannot prove that the quadrilateral is a

  3. Find Area of Parallelogram

    Find the area of the parallelogram with one corner at P1 and adjacent sides P1P2 and P1P3. NOTE: There is an arrow over P1P2 and P1P3. What does that arrow mean? P1 = (0, 0, 0), P2 = (2, 3, 1), P3 = (-2, 4, 1)

  4. Math

    The adjacent sides of a parallelogram are 45 cm and 28 cm. Find the sum of the squares of its diagonals.

  1. geometry

    Quadrilateral QRST has two pairs of congruent sides, but it is not a parallelogram. What figure is it? What further condition would it have to satisfy to be a parallelogram? A. The figure is a square. To be a parallelogram, it

  2. 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.

  3. hhs

    Instructions:Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match each set of vertices with the type of quadrilateral they form. Tiles A(2, 0), B(3, 2), C(6, 3), D(5, 1) a parallelogram with

  4. math

    A parallelogram has adjacent sides of lengths $s$ units and $2s$ units forming a 45-degree angle. The area of the parallelogram is $8\sqrt 2$ square units. What is the value of $s$? Express your answer in simplest radical form.

  1. Geometry

    Can the following quadrilateral be proven to be a parallelogram based on the given​ information? No. It is not a parallelogram because the angles of the quadrilateral do not add up to 360 degrees360°. B. No. It is not a

  2. ssc

    one diagonal of a parallelogram is 16.5. it makes angles of 36 degrees 10 minutes and 14 degrees and 30 minutes respectively with the sides. find the sides

  3. Math

    If A= and B=, find the magnitude and direction angle for -2A +3B Find all specified roots: Cube roots of 8i A parallelogram has sides of length 32.7cm and 20.2cm. If the longer diagonal has a length of 35.1cm, what is the angle

  4. Geometry

    Given: ABCD is a parallelogram;

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