Triangles : ∆ABC ~ ∆DEF. If AB = 4 cm, BC = 3.5 cm, CA = 2.5 cm and DF = 7.5 cm, find the perimeter of ∆DEF.

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Deepak BoraNewbie

Asked: July 10, 20202020-07-10T20:06:53+05:30 2020-07-10T20:06:53+05:30In: CBSE

∆ABC ~ ∆DEF. If AB = 4 cm, BC = 3.5 cm, CA = 2.5 cm and DF = 7.5 cm, find the perimeter of ∆DEF.

please help me with this question this is simple question for class 10th CBSE board Similarity Chapter 6

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Deepak Bora · Accepted Answer · 2020-07-13T23:55:38+05:30

Best Answer

Deepak Bora Newbie

This answer was edited.

Because triangle ABC ∼ triangle DEF

∴ perimeter of triangle ABC : perimeter of triangle DEF = AC : DF

Perimeter of triangle ABC = 4+3.5+2.5 = 10cm

10 : perimeter of triangle DEF = 2.5 : 7.5

Cross multiplying

Perimeter of triangle DEF = 10× 7.5/2.5

∴ perimeter of triangle DEF = 30cm