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

181

You visited us 181 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

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

Open in App

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

Suggest Corrections

Similar questions

Q. 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]

Q. A triangle A′BC′ is constructed similar to

Δ A B C

with a scale factor

\frac{3}{4}

, then the ratio of areas of

Δ A' B C' a n d Δ A B C

will be

Q. Question 5
Draw a

Δ A B C

in which AB = 5 cm , BC = 6 cm and

∠ A B C = 60^{\circ}

. Construct a triangle similar to ABC with scale factor

\frac{5}{7}

. Justify the construction.

Q. Construct a triangle similar to Δ ABC in which AB = 4.6 cm, BC = 5.1 cm, ∠A = 60° with scale factor 4 : 5.

Construct a $△ A B C$ in which BC = 8 CM, $∠ B = 45^{\circ} a n d ∠ C = 60^{\circ} .$ Construct another triangle similar to $Δ A B C$ such that its sides are $\frac{3}{5}$ of the corresponding sides of $Δ A B C .$

Join BYJU'S Learning Program

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