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Byju's Answer

Standard XII

Mathematics

Section Formula

To construct ...

Question

To construct a triangle similar to a given $△ A B C$ with its sides $\frac{3}{7}$ of the corresponding sides of $△ A B C$ , first draw a ray $B X$ such that $∠ C B X$ is an acute angle and $X$ lies on the opposite side of $A$ with respect to $B C$ . Then locate points $B_{1}, B_{2}, B_{3}, . . .$ on $B X$ at equal distances and next step is to join:

B_{10}

C

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B_{3}

C

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B_{7}

C

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B_{4}

C

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Solution

The correct option is B $B_{7}$ to $C$
Join $B_{7}$ to $C$ , then draw $B_{3} Q$ parallel to $B_{7} C$ . Draw $P Q$ parallel to $A C$ . $△ P B Q$ is the required triangle.

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Similar questions

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

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. 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

\frac{3}{7}

of 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 points

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

... on BX at equal distances and next step is to join

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

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The correct option is B B7 to CJoin B7 to C, then draw B3Q parallel to B7C. Draw PQ parallel to AC. △PBQ is the required triangle.

The correct option is B $B_{7}$ to $C$
Join $B_{7}$ to $C$ , then draw $B_{3} Q$ parallel to $B_{7} C$ . Draw $P Q$ parallel to $A C$ . $△ P B Q$ is the required triangle.