   Chapter 8.2, Problem 44E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Although not all trapezoids are cyclic, one with bases of lengths 12 cm and 28 cm and both legs of length 10 cm would be cyclic. Find the area of this isosceles trapezoid.

To determine

To Find:

The area of the isosceles trapezoid provided.

Explanation

Formula Used:

Area of the isosceles triangle is 12h(b1+b2), where b1 and b2 is the bases of lengths and h be the height of the trapezoid.

Calculation:

It is given that the isosceles trapezium ABCD with AB-CD-=10 cm and the bases of lengths 12 cm and 28 cm.

That is, b1=12 and b2=28.

Let us draw altitudes from the point A and D to the base BC.

And let the altitudes touches the base BC at the points E and F.

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