To construct a triangle similar to ABC in which BC -4-5 cm - - B -45- and - C -60- using a scale factor of 37- BC will be divided in the ratioa 3- 4b 4- 7c 3- 10d 3- 7 -CBSE 2012-

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Standard X

Mathematics

Constructing a Similar Triangle with a Scale Factor

To construct ...

Question

To construct a triangle similar to ∆ABC in which BC = 4.5 cm, $∠$ B = 45º and $∠$ C = 60º, using a scale factor of $\frac{3}{7}$ , BC will be divided in the ratio

(a) 3 : 4 (b) 4 : 7 (c) 3 : 10 (d) 3 : 7 [CBSE 2012]

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Solution

To construct a triangle similar to ∆ABC in which BC = 4.5 cm, $∠$ B = 45º and $∠$ C = 60º, using a scale factor of $\frac{3}{7}$ , BC will be divided in the ratio 3 : 4.

Here, ∆ABC ∼ ∆A'BC'

BC' : C'C = 3 : 4

or BC' : BC = 3 : 7

Hence, the correct answer is option A.

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Similar questions

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To construct a triangle similar to ∆ABC in which BC = 4.5 cm, ∠B = 45º and ∠C = 60º, using a scale factor of 37, BC will be divided in the ratio (a) 3 : 4 (b) 4 : 7 (c) 3 : 10 (d) 3 : 7 [CBSE 2012]

To construct a triangle similar to ∆ABC in which BC = 4.5 cm, ∠B = 45º and ∠C = 60º, using a scale factor of 37, BC will be divided in the ratio 3 : 4. Here, ∆ABC ∼ ∆A'BC' BC' : C'C = 3 : 4 or BC' : BC = 3 : 7 Hence, the correct answer is option A.

To construct a triangle similar to ∆ABC in which BC = 4.5 cm, $∠$ B = 45º and $∠$ C = 60º, using a scale factor of $\frac{3}{7}$ , BC will be divided in the ratio

(a) 3 : 4 (b) 4 : 7 (c) 3 : 10 (d) 3 : 7 [CBSE 2012]

To construct a triangle similar to ∆ABC in which BC = 4.5 cm, $∠$ B = 45º and $∠$ C = 60º, using a scale factor of $\frac{3}{7}$ , BC will be divided in the ratio 3 : 4.

Here, ∆ABC ∼ ∆A'BC'

BC' : C'C = 3 : 4

or BC' : BC = 3 : 7

Hence, the correct answer is option A.