the parallel sides of an isosceles trapezium are 20 cm and 30 cm and equal sides are 13 cm find the area of trapezium
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Step-by-step explanation:
The parallel sides of a trapezium are 20 cm and 10 cm. Its non-parallel sides are both equal each being 13 cm. What is the area of the trapezium?
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The parallel sides of a trapezium are 20 cm and 10 cm. Its non-parallel sides are both equal each being 13 cm. What is the area of the trapezium?
You can use the Pythagorean theorem to find the height of the trapezium. Because this is an isosceles trapezium, the difference between the two parallel sides must be split equally. This creates two right triangles with one leg 5cm and the hypotenuse of 13 cm. the other leg is √(13²- 5²) = √(169 - 25) = √(144) = 12 cm.
The area of a trapezium is A= [(b₁+b₂)h]/2
Plug in the values and evaluate: A = [(20+10)12]/2 => A = [30•12]/2 => A = 360/2 => Area = 180 cm²
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