To construct a triangle similar to - ABC in which BC - 4-5 cm- - B-45-and- C-60- using a scale factor of 3-7- BC will be divided in the ratio i 3 - 4 ii 4 - 7 c 3 - 10 d 3 - 7

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Standard X

Mathematics

Constructing a Similar Triangle with a Scale Factor

To construct ...

Question

To construct a triangle similar to $Δ A B C$ in which BC = 4.5 cm, $∠ B = 45^{\circ} a n d ∠ C = 60^{\circ},$ using a scale factor of $\frac{3}{7},$ BC will be divided in the ratio

(i) 3 : 4 (ii) 4 : 7 (c) 3 : 10 (d) 3 : 7

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Solution

In two similar geometric figures, the ratio of their corresponding sides is called the scale factor.

let D and E be 2 points on BC and AB respectively and $△ D B E$ be the similar triangle. Then $\frac{B D}{B C}$ = $\frac{3}{7}$

$\frac{B D}{D C}$ = $\frac{3}{7 - 3}$ = $\frac{B D}{D C}$ = $\frac{3}{4}$

option (i) is correct

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To construct a triangle similar to ΔABC in which BC = 4.5 cm, ∠B=45∘ and ∠C=60∘, using a scale factor of 37, BC will be divided in the ratio (i) 3 : 4 (ii) 4 : 7 (c) 3 : 10 (d) 3 : 7

In two similar geometric figures, the ratio of their corresponding sides is called the scale factor. let D and E be 2 points on BC and AB respectively and △DBE be the similar triangle. Then BDBC=37 BDDC=37−3 =BDDC=34 option (i) is correct

To construct a triangle similar to $Δ A B C$ in which BC = 4.5 cm, $∠ B = 45^{\circ} a n d ∠ C = 60^{\circ},$ using a scale factor of $\frac{3}{7},$ BC will be divided in the ratio

(i) 3 : 4 (ii) 4 : 7 (c) 3 : 10 (d) 3 : 7