Two trapezoids have areas 54 cm2 and 24 cm2. Find their ratio of similarity.

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07-04-2018
Mathematics

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Two trapezoids have areas 54 cm2 and 24 cm2. Find their ratio of similarity.

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Аноним Аноним · Answer 1 · 2018-04-07T23:44:31+02:00

[tex]\bigg( \dfrac{Length_1}{Length_2} \bigg)^ 2 = \dfrac{Area_1}{Area_2} [/tex]

[tex]\bigg( \dfrac{Length_1}{Length_2 }\bigg )^ 2 = \dfrac{54}{24} [/tex]

[tex] \dfrac{Length_1}{Length_2} = \sqrt{\dfrac{54}{24} } [/tex]

[tex] \dfrac{Length_1}{Length_2} = \sqrt{\dfrac{9}{4} } [/tex]

[tex] \dfrac{Length_1}{Length_2} = \dfrac{3}{2} [/tex]

[tex]\text {Ratio of similarity of the two trapeziums =} 3 : 2 [/tex]