Distances between stations X and Y, Y and Z, Z and X are 100 km. Angle between the lines made by j

M4maths Previous Puzzles

11 May 2010 Stations distance ?

Distances between stations X and Y, Y and Z, Z and X are 100 km. Angle between the lines made by joining X and Y, Y and Z is

OPtion

1) 50 degree
2) 45 degree
3) 30 degree
4) 25 degree
5) 60 degree
6) 100 degree
7) 120 degree
8) 10 degree
9) 20 degree
10) 150 degree

Solution

An equilateral triangle is formed by joining stations X, Y and Z. Hence required angle is 60 degree.

Correct Option: 5 Best Solution (23)

Pargat Pal Singh   14 years AGO

XY=YZ=ZX m,eans XYZ is equilateral triangle with each angle equal to 60 degrees.

Like? Yes (1) | No   

Sanoj   14 years AGO

3 Sides are equal so its a equlatral tringle.

So answer is 60 degree.

option = 5 Answer

Like? Yes (1) | No   

Saswata Chakraborty   14 years AGO

XYZ will be an equilateral triangle......so angle between any two lines is 60deg.

Like? Yes (1) | No   

sanjib biswas   14 years AGO

it forms equilateral triangle, value of each angle 180/3=60

Like? Yes (1) | No   

~Sandeep~   14 years AGO

The distance between all 3 stations could be same only if they are located in such a way as if they are representing vertices of an Equlateral triangle. So Angle =60 Degree

Like? Yes (1) | No   

Neha Bhatia   14 years AGO

Equilateral Triangle

Like? Yes (1) | No   

Karthik Pandiyan   14 years AGO

Since its forms equilateral triangle, angles between each lines will be 60 degree

Like? Yes (1) | No   

Abhishek Mukherjee   14 years AGO

since all the distances are 100km. therefore it forms an equilateral triangle,hence the angle will be 60 degree

Like? Yes (1) | No   

RASHI   14 years AGO

they form equilateral triangle

Like? Yes (1) | No   

Saranjit Singh   14 years AGO

Equal sides will have equal angles and sum of angles = 180 degrees.

Each angle= 60 deg

Like? Yes (1) | No   

Karan   14 years AGO

sum of three equal angles=180 deg

each angle = 60 deg

Like? Yes (1) | No   

Aman   14 years AGO

It means X,Y, and Z lie on the vertices of an equilateral triangle.

So each angle will be 60 degree.

Like? Yes (1) | No   

hitesh gakhar   14 years AGO

60 degree..they form an equilateral triangle...

Like? Yes (1) | No   

Leena   14 years AGO

Each angle of equilateral triangle XYZ will be 60 degrees.

Like? Yes (1) | No   

Bimal   14 years AGO

XY=YZ=ZX= 100 kms.
All sides of triangle XYZ are equal.

All angles must be equal.

Hence each angle = 180/3= 60 degree

Like? Yes (1) | No   

sivakumar   14 years AGO

three stations at equi distance. (makes equilateral triangle) then angle between them is also equal (i.e., 60 deg)

Like? Yes (1) | No   

SUDESHNA SEN   14 years AGO

Since distances between stations X and Y, Y and Z, Z and X are equal, XYZ is an equilateral triangle and each angle of and equilateral triange is 60 degree.
Therefore, angle between the lines made by joining X and Y, Y and Z is 60 degree..... Option 5)

Like? Yes (1) | No   

ASHOK ROY   14 years AGO

Since distances between stations X and Y, Y and Z, Z and X are equal, XYZ is an equilateral triangle and each angle of and equilateral triange is 60 degree.
Therefore, angle between the lines made by joining X and Y, Y and Z is 60 degree..... Option 5)

Like? Yes (1) | No   

Trishita Dasgupta   14 years AGO

Since distances between stations X and Y, Y and Z, Z and X are equal, XYZ is an equilateral triangle and each angle of and equilateral triange is 60 degree.
Therefore, angle between the lines made by joining X and Y, Y and Z is 60 degree..... Option 5)

Like? Yes (1) | No   

Brijesh Singh Mawari   14 years AGO

distance is same so angle should be same

Like? Yes (1) | No   

Ashu   14 years AGO

all angles are equal and each angle = 60 deg as triangle will be equilateral.

Like? Yes (1) | No   

Rituraj   14 years AGO

Angles of equilateral triangle are 60 deg each.

Like? Yes (1) | No   

sujit   14 years AGO

Since the distance between all the stations are equal, the three stations make an equilateral triangle.

So the angle between all the sides is 60 degree

Like? Yes (1) | No