Consider 3

Consider the isosceles trapezoid PQRS. The bases are |PQ|=120 mm, |RS|=62 mm and the arm s=48 mm. Find the height of the trapezoid, diagonal length and the area of the trapezoid.

Correct answer:

h =  38.2492 mm
d =  98.7117 mm
A =  3480.6757 mm2

Step-by-step explanation:

a=120 mm c=62 mm b=48 mm d=b=48 mm  x=(ac)/2=(12062)/2=29 mm b2=h2+x2  h=b2x2=482292=1463=38.2492 mm
d2=h2+(ax)2  d=h2+(ax)2=38.24922+(12029)2=4 609=98.7117 mm
A=2a+c h=2120+62 38.2492=91 1463=3480.6757 mm2

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