Home
Class 10
MATHS
Construct an isosceles triangle whose ba...

Construct an isosceles triangle whose base is 6cm and altitude 4 cm. Then construct another triangle whose sides are `(3)/(4)` times the corresponding sides of the first triangle.

Text Solution

Verified by Experts

Steps of construction :
1. Draw a line segment BC=6 cm .
2. Draw perpendicular bisector of BC.
3. From mid- point D of BC on perpendicular bisector mark DA=4 cm, join AB and AC.
4. Below BC make an acute angle `angleCBZ`.
5. Along BZ mark off four points `B_(1),(B)_(2),B_(3) and B_(4)` such that `BB_(1)=B_(1)B_(2)=B_(2)B_(3)=B_(3)B_(4)`.
6. Join `B_(4)C`.
7. From `B_(3)` draw `B_(3)E` parallel to `B(4)C` meeting BC at E.
8. From E draw EF||CA meeting BA at F.
Then, `DeltaFBE` is the required triangle.
Promotional Banner

Topper's Solved these Questions

  • CONSTRUCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Construction of Tangents to a Circle|5 Videos

  • CONSTRUCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise PROBLEMS FROM NCERT/ EXEMPLAR|10 Videos

  • CO-ORDINATE GEOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Short Answer Questions|10 Videos

  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|5 Videos

Similar Questions

Explore conceptually related problems

Construct an isosceles triangle whose base is 6 cm and altitude is 4 cm.

Construct an isosceles triangle whose base is 8cm and altitude 4cm and then construct another triangle whose sides are (3)/(2) times the corresponding sides of the isosceles triangle.

Construct an isosceles triangle whose base in 8 cm and altitude 4 cm and then another triangle whose sides are 1(1)/(2) times the corresponding sides of the isosceles triangle.

Construct an isosceles triangle whose base is 8 cm and altitude 4 cm and then another triangle whose sides are 3/4 times the corresponding sides of the isosceles triangle.

Construct an isosceles triangle whose base is 8cm and altitude 4cm and then another triangle whose sides are 3//2 times the corresponding sides of the isosceles triangle.

Draw a right triangle in which sides (other than the hypotenuse) are of lengths 8cm and 6cm. Then construct another triangle whose sides are 3//4 times the corresponding sides of the first triangle.

Draw a right triangle in which sides (other than hypotenuse) are of lengths 8 cm and 6 cm. Then construct another triangle whose sides are 3/4 times the corresponding sides of the first triangle.

Construct a triangle with sides 5cm, 5.5cm and 6.5cm. Now construct another triangle, whose sides are 3//5 times the corresponding sides of the given triangle.

Draw a right triangle in which the sides (other than hypotenuse) are of lengths 4 cm and 3 cm. Then construct another triangle whose sides are 5/3 times the corresponding sides of the given triangle.

Draw a right triangle in which the sides (other than hypotenuse) are of lengths 4 cm and 3 cm. Then construct another triangle whose sides are 5/3 times the corresponding sides of the given triangle.