Question

4.
On a number line, points A, B and C are such that d(A,C) = 10, dC,B) =
Find d(A, B) considering all possibilities.
5. Points X, Y, Z are collinear such that d(X,Y) = 17, d(Y,Z) = 8, find d(X,Z
6. Sketch proper figure and write the answers of the following questions.
(i) If A-B-C and I(AC) = 11, I(BC) = 6.5. then (AB) =?
(ii) If R-S-T and I(ST) = 3.7, I(RS) = 2.5, then /(RT) =?
(i) If X - Y - Z and I(XZ) = 3/5. I(XY)= v. then ICYZ) =?
7. Which figure is formed by three non-collinear points ?​

Answer 1

Given : On a number line, points A, B and C are such that d(A,C) = 10, d(C,B) =  8

To Find :  d(A, B) considering all possibilities.

Solution

3!/2  = 3  ways

A      B     C                

AC = 10   BC  =  8   => AB  = AC - BC  = 10 - 8 = 2

A      C      B  

AB = AC + BC = 10 + 8 = 18

B      A      C  ( not Possible ) as   AC > BC

AB = 2  or AB = 18

X, Y, Z are collinear such that d(X,Y) = 17, d(Y,Z) = 8, find d(X,Z

d(X , Z) = d(X,Y)  + d(Y,Z) = 17 + 8 = 25

Learn More:

If A-B-C and d(A,C)=17, d(B,C)=6.5 then d (A,B) = ? Answer the ...

https://brainly.in/question/4556132

the points p, q, r, s are collinear if points s, t,a, b are collinear then ...

https://brainly.in/question/11405922