Home
Class 10
MATHS
Construct a A B C in which A B=4c m ...

Construct a ` A B C` in which `A B=4c m` , `B C=5c m` and `A C=6c m` . Now, construct a triangle similar to ` A B C` such that each of its sides is two-third of the corresponding sides of ` A B C` . Also, prove your assertion.

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CIRCLES

    RD SHARMA|Exercise All Questions|131 Videos
  • COORDINATE GEOMETRY

    RD SHARMA|Exercise All Questions|306 Videos

Similar Questions

Explore conceptually related problems

Draw Delta ABC with sides = 6 cm, 8 cm and 9 cm and then construct a triangle similar to Delta A'B'C whose sides are (3)/(5) or the corresponding sides of Delta ABC .

If A,B,C are the angles of a triangle and tan A=1,tan B=2, prove that tan C=3 If a,b,c are the corresponding sides,then prove that (a)/(sqrt(5))=(b)/(2sqrt(2))=(c)/(3)

Knowledge Check

  • If sides of triangle ABC are a, b, and c such that 2b = a + c , then

    A
    `(b)/(c) gt (2)/(3)`
    B
    `(b)/(c) gt (1)/(3)`
    C
    `(b)/(c) lt 2`
    D
    `(b)/(c) lt (3)/(2)`
  • Similar Questions

    Explore conceptually related problems

    A B and C D are two chords of a circle such that A B=6c m ,C D=12c m and A B C Ddot If the distance between A B and C D is 3c m , find the radius of the circle.

    In Figure, A B C D is a trapezium in which A B=7c m ,\ A D=B C=5c m ,\ D C=x\ c m , and distance between A B\ a n d\ D C is 4c m . Find the value of x and area of trapezium A B C D

    If triangle A B C is similar to triangle D E F such that B C=3C M ,E F=4c m and area of triangle A B C=54c m^2 . Determine the area of triangle D E Fdot

    Figure shows triangle A B C such that A B=A C=5, B C= 6. Point D is on B C such that (B D)/(D C)=1/2 , then square of length of side A D is

    In a A B C , A D is the bisector of /_B A C . If A B=8c m , B D=6c m and D C=3c m . Find A C 4c m (b) 6c m (c) 3c m (d) 8c m

    In a A B C , A D is the bisector of /_B A C . If A B=6c m , A C=5c m and B D=3c m , then D C= 11. 3 c m (b) 2. 5 c m (c) 3:5c m (d) None of these

    A B C is a triangle and P Q is a straight line meeting A B in P and A C in Q . If A P=1c m , P B=3c m , A Q=1. 5 c m , Q C=4. 5 m , prove that area of A P Q is one-sixteenth of the area of A B C .