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An isosceles trapezoid has base lengths of 12 in and 18 in. If the area of the larger shaded triangle is 72 square inches, find the area of the smaller shaded triangle.

An Isosceles Trapezoid Has Base Lengths Of 12 In And 18 In If The Area Of The Larger Shaded Triangle Is 72 Square Inches Find The Area Of The Smaller Shaded Tri class=

Sagot :

Answer:

32 in²

Step-by-step explanation:

length ratio = [tex]\frac{12}{18}[/tex] = [tex]\frac{2}{3}[/tex]

area ratio = ([tex]\frac{2}{3}[/tex] )² = [tex]\frac{4}{9}[/tex]

smaller area = 72 × [tex]\frac{4}{9}[/tex] = 8 × 4 = 32 in²

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