Secondary School Mathematics for Class 10>Chapter 9 - Constructions>TEST YOURSELF>Q 5

HARD

10th CBSE

IMPORTANT

Earn 100

Construct an isosceles triangle whose base is $9 cm$ and altitude $5 cm$ . Construct another triangle whose sides are $\frac{3}{4}$ of the corresponding sides of the first isosceles triangle.

Important Questions on Constructions

HARD

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 9 - Constructions>TEST YOURSELF>Q 6

Draw a

∆ A B C

, right-angled at

B

such that

A B = 3 cm

and

B C = 4 cm

. Now, construct a triangle similar to

∆ A B C

, each of whose sides is

\frac{7}{5}

times the corresponding side of

∆ A B C

.

HARD

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 9 - Constructions>TEST YOURSELF>Q 7

Draw a circle of radius

4.8 cm

. Take a point

P

on it. Without using the centre of the circle, construct a tangent at the point

P

. Write the steps of construction.

HARD

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 9 - Constructions>TEST YOURSELF>Q 8

Draw a circle of radius

3.5 cm

. Draw a pair of tangents to this circle which are inclined to each other at an angle of

60 °

. Write the steps of construction.

HARD

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 9 - Constructions>TEST YOURSELF>Q 9

Draw a circle of radius

4 cm

. Draw tangent to the circle making an angle of

60 °

with a line passing through the centre.

HARD

10th CBSE

IMPORTANT

Secondary School Mathematics for Class 10>Chapter 9 - Constructions>TEST YOURSELF>Q 10

Draw two concentric circles of radii

4 cm

and

6 cm

. Construct a tangent to the smaller circle from a point on the larger circle. Measure the length of this tangent.