Question

The area of an isosceles trapezium is 168 sq metres. If the lengths ago
sides are 36 m and 20 m respectively, find the lengths of the non-parallel sides​

Answer 1

Answer:

10m

Step-by-step explanation:

Given:-

Area of the trapezium=168m²

Given sides:-36 and 20 m

To find:-

The length of the non-parallel sides.

Solution:-

Area of the trapezium=$\frac{1}{2} \times$the sum of parallel sides $\times$height

=$\frac{1}{2} \times(36+20)\times height$

=$\frac{168\times2}{56}$=$\frac{336}{56} =6m$

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Length of the non-parallel side.

➢(AB)²=(BC)²+(AC)²

➢(AB)²=(8)²+(6)²

➢(AB)²=64+36

➢(AB)²=100

➢(AB)=√100

➢10m

Therefore the length of the  non-parallel side is 10m