By geometrical construction- it is possible to divide a line segment in the ratio -3-1-3- Write True or False and give reasons for your answer-

According to the given details, we know thatRatio= √(3) : ( 1/√(3))On simplifying we get,√(3)/ (1/√(3)) = (√(3) x √(3))/1 = 3:1Required ratio = 3:1Hence,Geometr ...

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Standard X

Mathematics

Construction of Similar Triangles

By geometrica...

Question

By geometrical construction, it is possible to divide a line segment in the ratio $\sqrt{3} : (1 / \sqrt{3})$ . Write True or False and give reasons for your answer.

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Solution

According to the given details, we know that
Ratio= $\sqrt{3} : (1 / \sqrt{3})$
On simplifying we get,
$\sqrt{3} / (1 / \sqrt{3}) = (\sqrt{3} x \sqrt{3}) / 1 = 3 : 1$
Required ratio = $3 : 1$
Hence,
Geometrical construction is possible to divide a line segment in the ratio $3 : 1 .$

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Similar questions

Q. Question 1
State whether the following is true or false.
By geometrical construction,it ispossible to divide a line segment in the ratio

\sqrt{3} : \frac{1}{\sqrt{3}}

Q. is it possible to divide a line segment in the ratio root 3 :1/root 3 using geometric constructions

Q. Question 2 (i)
Write True or False. Give reasons for your answers.

(i) Line segment joining the centre to any point on the circle is a radius of the circle

Q. Question 4
Write True or False and give reasons for your answer:

A

Δ A B C

can be constructed in which BC = 6cm,

∠ C = 30^{\circ}

and AC – AB = 4cm.

Q. Question 2
Write True or False and give reasons for your answer:

An angle of

{42.5}^{\circ}

can be constructed.

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By geometrical construction, it is possible to divide a line segment in the ratio 3:(1/3). Write True or False and give reasons for your answer.

According to the given details, we know thatRatio= 3:(1/3)On simplifying we get,3/(1/3)=(3x3)/1=3:1Required ratio = 3:1Hence,Geometrical construction is possible to divide a line segment in the ratio 3:1.

By geometrical construction, it is possible to divide a line segment in the ratio $\sqrt{3} : (1 / \sqrt{3})$ . Write True or False and give reasons for your answer.

According to the given details, we know that
Ratio= $\sqrt{3} : (1 / \sqrt{3})$
On simplifying we get,
$\sqrt{3} / (1 / \sqrt{3}) = (\sqrt{3} x \sqrt{3}) / 1 = 3 : 1$
Required ratio = $3 : 1$
Hence,
Geometrical construction is possible to divide a line segment in the ratio $3 : 1 .$