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Triangles Abc and Def Are Similar. If Area (δAbc) = 36 Cm2, Area (δDef) = 64 Cm2 and De = 6.2 Cm, Find Ab. - Mathematics

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प्रश्न

Triangles ABC and DEF are similar.
If area (ΔABC) = 36 cm2, area (ΔDEF) = 64 cm2 and DE = 6.2 cm, find AB.

योग

उत्तर

Area (Δ ABC) = 36 cm2
Area (Δ DEF) = 64 cm2
DE = 6.2 cm
AB =?
We have
`"area (Δ ABC)"/"area (Δ DEF)" = "AB"^2/"DE"^2`
⇒ `(36)/(64) = "AB"^2/(6.2)^2`
⇒ AB = `(6)/(8)`
⇒ AB = `(6 xx 6.2)/(8)`
⇒ AB = 4.65 cm.

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Areas of Similar Triangles Are Proportional to the Squares on Corresponding Sides
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 13: Similarity - Determine the Following

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आईसीएसई Mathematics [English] Class 10
अध्याय 13 Similarity
Determine the Following | Q 2.4
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