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
- The following picture shows the quadrilateral ABCD,ABCD,
- Let's draw a line ACAC.
√AD2+DC2√AD2+DC2
The △ACD△ACD is the right-angled triangle.
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- 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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