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In fig., PM = 10 cm, A(ΔPQS) = 100 sq.cm, A(ΔQRS) = 110 sq.cm, then NR?ΔPQS and ΔQRS having seg QS common base. Areas of two triangles whose base is common are in proportion of their corresponding [_ - Geometry Mathematics 2

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प्रश्न

In fig., PM = 10 cm, A(ΔPQS) = 100 sq.cm, A(ΔQRS) = 110 sq.cm, then NR?

ΔPQS and ΔQRS having seg QS common base.

Areas of two triangles whose base is common are in proportion of their corresponding [______]

`("A"("PQS"))/("A"("QRS")) = (["______"])/"NR"`,

`100/110 = (["______"])/"NR"`,

NR = [ ______ ] cm

योग

उत्तर

ΔPQS and ΔQRS having seg QS common base.

Areas of two triangles whose base is common are in proportion of their corresponding heights.

`("A"("ΔPQS"))/("A"("ΔQRS"))` = `"PM"/"NR"`,

`100/110` = `10/"NR"`,

∴ NR = `(110 xx 10)/100`

∴ NR = 11 cm.

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अध्याय 1: Similarity - Q.2 (A)

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