Three girls reshma Salma and Mandip are playing a game by standing on a circle of radius 5m drwan in a park. Reshma throws a ball to Salma, salma to Mandip, Mandip to reshma. If the distance between reshma and salma and between Salma and Mandip is 6m each, what is the distance between reshma and Mandip??? Question is from ncert ex 10.4?

Question

Answer

Given. : OR = OS = OM = 5 m and RS = SM = 6 m
to find : RM
proof. : in triangle AOR
by P.T
OR² = OA² + AR²
(5m)² = OA² + (3m)² ( since AR = 3 because AO
bisects the line RS into two)
25 = OA² +9
25-9 = OA²
16 = OA²
root 16 = 4 m = OA

Since ORSM is a kite and the diagonals of the rhombus bisect each other at right angle .
Area of ORS = ½ * RS * OA
½ * OS * RC = ½ * RS * OA
5 * RC = 6 *4
5 * RC = 24
RC = 24/ 5
RC = 4.8 m
since RM = 2 RC = 2 * 4.8
= 9.6 m
therefore the distance between reshma and mandip is 9.6 m

Answer

9.6 m is the distance between reshma and mandip

Answer

Problem:
Three girls, Reshma, Salma, and Mandip, are playing a game by standing on a circle with a radius of 5m drawn in a park. Reshma throws a ball to Salma, Salma throws it to Mandip, and Mandip throws it back to Reshma. The distance between Reshma and Salma, and between Salma and Mandip is 6m each. What is the distance between Reshma and Mandip?

Solution:

To find the distance between Reshma and Mandip, we can use the properties of a circle and triangle. Let's break down the problem into smaller steps:

Step 1: Understand the problem
We have three girls standing on a circle with a radius of 5m. They are throwing a ball to each other, forming a triangle. We need to find the distance between Reshma and Mandip.

Step 2: Visualize the scenario
Picture a circle with a radius of 5m. Place Reshma, Salma, and Mandip on the circumference of the circle. Draw lines connecting Reshma and Salma, Salma and Mandip, and Mandip and Reshma to form a triangle.

Step 3: Identify the given information
We are given that the distance between Reshma and Salma, and between Salma and Mandip is 6m each.

Step 4: Analyze the triangle
Let's call the center of the circle O. The triangle formed by Reshma, Salma, and Mandip is an isosceles triangle because the distances between Reshma and Salma, and between Salma and Mandip are equal.

The length of the two equal sides of the triangle is 6m each, and the radius of the circle is 5m.

Step 5: Apply the triangle properties
In an isosceles triangle, the perpendicular drawn from the vertex angle to the base bisects the base. In this case, the base is the line connecting Reshma and Mandip.

Therefore, the distance between Reshma and Mandip is half of the base of the triangle. We can find the base using the Pythagorean theorem.

Step 6: Calculate the distance between Reshma and Mandip
Using the Pythagorean theorem, we can find the length of the base:

Base^2 = Hypotenuse^2 - Height^2
Base^2 = 6^2 - 5^2
Base^2 = 36 - 25
Base^2 = 11

Taking the square root of both sides, we get:
Base = √11

Since the distance between Reshma and Mandip is half of the base, the distance between Reshma and Mandip is:
Distance = 1/2 * √11

Step 7: Final Answer
The distance between Reshma and Mandip is 1/2 * √11 meters.

Similar Class 9 Doubts

Five friends playing a game in which they are standing at different positions, P, S, T, R andRohan is watching them playing. Few questions came to Rohan's mind while watching the game. Give answer to his questions by looking at the figure.Q. (x, y) = (y, x), if

Five friends playing a game in which they are standing at different positions, P, S, T, R andRohan is watching them playing. Few questions came to Rohan's mind while watching the game. Give answer to his questions by looking at the figure.Q. Name the point whose y-co-ordinate is zero

Five friends playing a game in which they are standing at different positions, P, S, T, R andRohan is watching them playing. Few questions came to Rohan's mind while watching the game. Give answer to his questions by looking at the figure.Q. What are the coordinates of P?

Five friends playing a game in which they are standing at different positions, P, S, T, R andRohan is watching them playing. Few questions came to Rohan's mind while watching the game. Give answer to his questions by looking at the figure.Q. Name the point lying in the third quadrant.

1)A particle moving in straight line experience constant acceleration for 20 second after starting from rest.If it travels a distance S1 in the first 10 second and S2 in the next 10 seconds then what is the relation between S1 and S2.?

Top Courses for Class 9View all

Science Class 9

Social Studies (SST) Class 9

Mathematics (Maths) Class 9

English Class 9

English Grammar Advanced

Top Courses for Class 9

Top Courses for Class 9

Related Content

Class 9 Study Material

Class 9 Subjects

Competitive Examinations for Class 9

NCERT Books

NCERT Solutions

Reference Books for Class 9

Other Popular Exams

Company