You visited us 16 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 given $Δ A B C$ with its sides $\frac{3}{5}$ of that of $Δ A B C$ , a ray $B X$ is drawn at acute angle with $B C$ . If we mark points $B_{1}, B_{2}, B_{3}, . . . .$ at equal distances from $B$ along $B X$ , then point to be joined in next step is?

B_{3}

to point

C

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B_{4}

to point

C

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B_{5}

to point

C

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

B_{6}

to point

C

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $B_{5}$ to point $C$
Suppose $△ P Q B$ is the required triangle.
$B Q = \frac{3}{5} \times B C \Rightarrow P Q = \frac{3}{5} \times (B Q + Q C) \Rightarrow 5 B Q = 3 B Q + 3 C Q \Rightarrow 2 B Q = 3 C Q$ , i.e, $\frac{B Q}{C Q} = \frac{3}{2}$
Therefore, $Q$ divides $B C$ in ratio $3 : 2$ .
Hence, after drawing the ray $B X$ , the next step will be to join the last point, i.e, $B_{5}$ to point $C$ , and then draw $B_{3} Q$ parallel to $B_{5} C$ to obtain the point $Q$ .

Suggest Corrections

Similar questions

Q. To construct a triangle similar to given

△ A B C

with its sides

\frac{2}{3}

of that of

Δ A B C

, locate points on ray

B X

at equal distances as

B_{1}, B_{2}, B_{3}, . . . .

such that

∠ C B X

is acute. The points to be joined in the next step are:

Q. To construct a triangle similar to a given

Δ A B C

with its sides

\frac{7}{4}

of the corresponding sides of

Δ A B C

, first draw a ray BX such that

∠ C B X

is an acute angle and X lies on the opposite side of A with respect to BC. Then, locate points

B_{1}, B_{2}, B_{3}, \dots \dots

on BX at equal distances and next step is to join the points

Q. Question 4

To construct a triangle similar to a given

Δ

ABC with its sides of

\frac{3}{7}

the corresponding sides of

Δ

ABC , first draw a ray BX such that

∠

CBX is an acute angle and X lies on the opposite side of A with respect to BC. Then locate point

B_{1}, B_{2}, B_{3} . . . .

on BX at equal distances and next step is to join
(A)

B_{10}

to C
(B)

B_{3}

to C
(C)

B_{7}

to C
(D)

B_{4}

to C

Q. To construct a triangle similar to a given ∆ABC with its sides 3/7 of the corresponding sides of ∆ABC, first draw a ray BX such that ∠CBX is an acute angle and X lies on the opposite side of A with respect to BC. Then locate points B₁, B₂, B₃,.... on BX at equal distances and next step is to join
(a) B₁₀to C
(b) B₃ to C
(c) B₇ to C
(d) B₄to C

To construct a triangle similar to given

Δ A B C

with its sides

\frac{3}{5}

of that of

Δ A B C

, a ray

B X

is drawn at acute angle with

B C

. How many minimum no. of points should be marked on

B X

Join BYJU'S Learning Program

To construct a triangle similar to given ΔABC with its sides 35 of that of ΔABC, a ray BX is drawn at acute angle with BC. If we mark points B1,B2,B3,.... at equal distances from B along BX, then point to be joined in next step is?

To construct a triangle similar to given $Δ A B C$ with its sides $\frac{3}{5}$ of that of $Δ A B C$ , a ray $B X$ is drawn at acute angle with $B C$ . If we mark points $B_{1}, B_{2}, B_{3}, . . . .$ at equal distances from $B$ along $B X$ , then point to be joined in next step is?