Please wait...
1800-212-7858 (Toll Free)
9:00am - 8:00pm IST all days

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this toll free number

022-62211530

Mon to Sat - 11 AM to 8 PM

Home / Doubts and Solutions/CBSE/Class 10/Mathematics

Construct a triangle similar to a given triangle ABC, with sides measuring 5cm, 6cm and 8cm, such that its sides are of the corresponding sides of ABC.

OR

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 times the corresponding sides of the given triangle.

Asked by Topperlearning User 4th June 2014, 1:23 PM
Answered by Expert
Answer:

Steps of construction:

1. Draw line segment BC of length 5 cm. With B and C as centres and radii 6 cm and 8 cm respective draw two arcs intersecting each other at A. Join AB and AC. Now, triangle ABC is the triangle with sides 5 cm, 6 cm and 8 cm.

2. Draw an acute angle XBC on the side opposite to the vertex A.

3. On BX, mark six points B1, B2, B3, B4, B5, B6 and B7 such that:

BB1 = B1B2 = B2B3 = B3B4 = B4B5 = B5B6

4. Join B5 to C.

5. From B6, draw B6C' parallel to B5C, intersecting BC produced in C'.

6. From C' draw C'A' parallel to CA, meeting AB produced in A'.

Triangle A'BC' is the required triangle.

OR

Step of Constructions:

1. Draw BC = 4 cm.

2. At B, draw a ray BY making angle 90o with BC i.e. YBC = 90o.

3. From BP, cut BA = 3 cm.

4. Join A and C to get ABC.

5. Through vertex B, draw ray BX making an acute angle with BC on the side opposite to vertex A.

6. On BX cut 5 equal line segments BB1 = B1B2 = B2B3 = B3B4 = B4B5.

7. Join B5 to C.

8. Through B3, draw a line parallel to B5C to meet BC at point C'.

9. Through C', draw a line parallel to side CA to meet BA at A'.

A'BC' is the required triangle.

Answered by Expert 4th June 2014, 3:23 PM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Report an issue
Previous Question
Next Question
Your answer has been posted successfully!

Free related questions

sir canu explain this problem
 Compute the median for the following data:

Marks        (more than or equal to) Number of students
80 150
90 141
100 124
110 105
120 60
130 27
140 12
150 0
10th June 2016, 3:14 PM
Q1) if alpha and beta are zeroes of the quadratic polynomial f(x)=3x²-5x-2, then evaluate alpha³+beta³
Q2) if one of the zeroes of the cubic polynomial x³+ax²+bx-c is -1, then find the product of other two zeroes? (Plz help because its answer us given c of Q2)
13th June 2016, 9:35 AM
Write cubic polynomial whose zeroes are 2+√5/2, 2-√5/2 and 4
13th June 2016, 9:45 AM

if x,y are two positive odd integers thenx2+y2 _____

answer given in test odd,is it right ? if yes then please tell me how.

thanks

13th June 2016, 9:49 AM
What are coprime numbers? Explain.
13th June 2016, 10:35 AM
RELATED STUDY RESOURCES :
CBSE Class-10 QUESTION ANSWERS

Chat with us on WhatsApp