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express the ratio of the area of triangle abc to the area of triangle edc

Express The Ratio Of The Area Of Triangle Abc To The Area Of Triangle Edc class=

Sagot :

Given :

Two similar triangle.

To Find :

The ratio of the area of triangle abc to the area of triangle edc.

Solution :

 ΔABC ~ ΔAPQ  (AA criterion for similar triangles)

Since both the triangles are similar, using the theorem for areas of similar triangles we have :

[tex]\dfrac{Area \ of \ \Delta ABC}{Area \ of \ \Delta EDC} = \dfrac{AC}{EC}\\\\\dfrac{Area \ of \ \Delta ABC}{Area \ of \ \Delta EDC} = \dfrac{20+8}{20}\\\\\dfrac{Area \ of \ \Delta ABC}{Area \ of \ \Delta EDC} = 1.4[/tex]

Therefore, ratio of area of triangle is 1.4 .

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