In triangle P Q R , P Q = 4 3 c e n t i m e t r e s , ∠ P = ∠ Q = 30 ° . Draw the triangle.

In triangle P Q R , P Q = 4 3 c e n t i m e t r e s , ∠ P = ∠ Q = 30 ° . We have to draw the triangle. Steps to be followed: ( i ) Draw a line segment P Q = 4 3 c m . ( i i ) At P, draw a ray making an angle of 30 ° ( i i i ) At Q, draw another ray making an angle of 30 ° which intersects the first ray at R . ∆ P Q R is the required triangle.

EASY

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In every triangle sum of two sides is always greater than third side.

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Important Questions on Practical Geometry

EASY

Mathematics>Geometry>Practical Geometry>Construction of Triangles

In triangle $P Q R, P Q = 4 \sqrt{3} c e n t i m e t r e s, ∠ P = ∠ Q = 30 °$ . Draw the triangle.

HARD

Mathematics>Geometry>Practical Geometry>Construction of Triangles

∆ A B C, A B = 5

centimetres,

∠ A = 65 °, ∠ B = 55 °

. Draw the triangle

A B C

and draw the incircle. Measure the radius of the incircle.

MEDIUM

Mathematics>Geometry>Practical Geometry>Construction of Triangles

Using ruler and compass construct a triangle $A B C$ where $A B = 3 cm, B C = 4 cm$ and $∠ A B C = 90 °$ . Hence construct a circle circumscribing the triangle $A B C$ . Measure and write down the radius of the circle.

MEDIUM

Mathematics>Geometry>Practical Geometry>Construction of Triangles

Construct a

△ A B C

in which

B C = 6.2 cm, ∠ B = 60 °

and

∠ C = 45 °

MEDIUM

Mathematics>Geometry>Practical Geometry>Construction of Triangles

Construct an equilateral triangle each of whose sides measures

6.2 cm

. Measure each of its angles.

MEDIUM

Mathematics>Geometry>Practical Geometry>Construction of Triangles

Examine whether you can construct

Δ D E F

such that

E F = 7.2 c m, m ∠ E = 110^{o}

and

m ∠ F = 80^{o}

. Justify your answer.

MEDIUM

Mathematics>Geometry>Practical Geometry>Construction of Triangles

Construct

Δ A B C

with

B C = 7.5 c m, A C = 5 c m

and

m ∠ C = 60^{o} .

MEDIUM

Mathematics>Geometry>Practical Geometry>Construction of Triangles

Construct a

△ A B C

in which

A B = 7 cm, ∠ A = 45 °

and

∠ C = 75 °

MEDIUM

Mathematics>Geometry>Practical Geometry>Construction of Triangles

Construct an isosceles triangle in which the lengths of each of its equal sides is

6.5 c m

and the angle between them is

110^{o} .

MEDIUM

Mathematics>Geometry>Practical Geometry>Construction of Triangles

Construct

Δ X Y Z

in which

X Y = 4.5 c m, Y Z = 5 c m

and

Z X = 6 c m .

MEDIUM

Mathematics>Geometry>Practical Geometry>Construction of Triangles

Draw

Δ P Q R

with

P Q = 4 c m, Q R = 3.5 c m

and

P R = 4 c m

. What type of triangle is this?

MEDIUM

Mathematics>Geometry>Practical Geometry>Construction of Triangles

Construct a

△ P Q R

in which

Q R = 6 cm, P Q = 4.4 cm

and

P R = 5.3 cm

. Draw the bisector of

∠ P

MEDIUM

Mathematics>Geometry>Practical Geometry>Construction of Triangles

Construct an isosceles right-angled triangle

A B C,

where,

m ∠ A C B = 90^{o}

and

A C = 6 c m .

MEDIUM

Mathematics>Geometry>Practical Geometry>Construction of Triangles

Construct a

△ A B C

in which

A B = A C = 4.8 cm

and

B C = 5.3 cm

. Measure

∠ B

and

∠ C

. Draw

A D ⊥ B C

MEDIUM

Mathematics>Geometry>Practical Geometry>Construction of Triangles

Construct

Δ A B C

such that

A B = 2.5 c m, B C = 6 c m

and

A C = 6.5 c m

. Measure

∠ B

MEDIUM

Mathematics>Geometry>Practical Geometry>Construction of Triangles

Construct the right-angled

Δ P Q R,

where

m ∠ Q = 90^{o}, Q R = 8 c m

and

PR = 10 c m .

MEDIUM

Mathematics>Geometry>Practical Geometry>Construction of Triangles

Construct an equilateral triangle of side

5.5 c m

MEDIUM

Mathematics>Geometry>Practical Geometry>Construction of Triangles

Examine whether you can construct

Δ D E F

such that

E F = 7.2 c m, m ∠ E = 110^{o}

and

m ∠ F = 80^{o}

. Justify your answer.

MEDIUM

Mathematics>Geometry>Practical Geometry>Construction of Triangles

Construct

Δ A B C,

given

m ∠ A = 60^{o}, m ∠ B = 30^{o}

and

A B = 5.8 c m .

MEDIUM

Mathematics>Geometry>Practical Geometry>Construction of Triangles

Construct

Δ D E F

such that

D E = 5 c m, D F = 3 c m

and

m ∠ E D F = 90^{o}

In every triangle sum of two sides is always greater than third side.

Important Questions on Practical Geometry

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