All In One ICSE Mathematics Class 10>Chapter 16 - Constructions>CHAPTER EXERCISE>Q 12

MEDIUM

10th ICSE

IMPORTANT

Earn 100

Construct a circumscribing circle of an equilateral triangle of side $4 cm$ .

Important Questions on Constructions

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 16 - Constructions>CHAPTER EXERCISE>Q 13

Use a ruler and a pair of compasses to construct a

△ A B C

, in which

B C = 4.2 cm

,

∠ A B C = 60 °

and

A B = 5 cm

. Construct a circle of radius

2 cm

to touch both the arms of

∠ A B C

of

△ A B C

.

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 16 - Constructions>CHAPTER EXERCISE>Q 14

Construct a

△ A B C

, such that

B C = 4 cm, ∠ C = 75 °

and radius of circumcircle of

△ A B C

is

3 cm

.

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 16 - Constructions>CHAPTER EXERCISE>Q 15

Inscribe a circle of an equilateral triangle having side

2.5 cm

.

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 16 - Constructions>CHAPTER EXERCISE>Q 16

Inscribe the equilateral triangle in the circle of radius

3.5 cm

.

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 16 - Constructions>CHAPTER EXERCISE>Q 17

Construct a triangle with sides

6.1 cm, 7 cm and 8 cm

. Draw its incircle.

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 16 - Constructions>CHAPTER EXERCISE>Q 18

A B C

is a right angled triangle, right angled at

B

with

A B = 8 cm

and

B C = 6 cm

. Construct an inscribed circle which touches all the sides of the triangle.

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 16 - Constructions>CHAPTER EXERCISE>Q 19

Using a ruler and a pair of compasses only, construct a

△ A B C

with

B C = 6.4 cm

,

C A = 5.8 cm

and

∠ A B C = 60 °

. Draw its incircle. Measure and record the radius of the incircle.

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 16 - Constructions>CHAPTER EXERCISE>Q 20

Construct a $△ A B C$ , in which $A B = 5 cm, B C = 7 c m and A C = 6 cm$ . Mark $D$ , the mid-point of $A B$ .