The sides of a quadrilateral, taken in order are 13 cm,10 cm,12 cm,13 cm,10 cm,12 cm, and 5 cm5 cm respectively. The angle contained by the last two sides is a right angle. Find the area of the quadrilateral.


Answer:

Area: 90 cm290 cm2

Step by Step Explanation:
  1. The following picture shows the quadrilateral ABCD,ABCD,
  2. Let's draw a line ACAC.
    AD2+DC2AD2+DC2
    The ACDACD is the right-angled triangle.
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  3. [Math Processing Error]
  4. Now, we can see that, this quadrilateral consists of the triangles ACD and ABC.
    The area of the ABC can be calculated using Heron's formula since all sides of the triangle are known.
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  5. [Math Processing Error]

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