The perimeter of a quadrilateral is 56 cm. If the first three sides of a quadrilateral, taken in order are 17 cm,16 cm, and 15 cm respectively, and the angle between fourth side and the third side is a right angle, find the area of the quadrilateral.
Answer:
Area: 180 cm2
- The following picture shows the quadrilateral ABCD,
The perimeter of the quadrilateral ABCD=56 cm
- Let's draw a line .
The is the right angled triangle.
- Now, we can see that, this quadrilateral consists of the triangles and .
The area of the can be calculated using Heron's formula since all sides of the triangle are known.
.