Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

X coordinate of incentre of a triangle that has coordinates of midpoint of its sides as (0,1)(1,1) (1,0) is :

X coordinate of incentre of a triangle that has coordinates of midpoint of its sides as (0,1)(1,1) (1,0) is :

Grade:

2 Answers

Sunil Kumar FP
askIITians Faculty 183 Points
7 years ago

204-1392_20140320_064833.jpg

thanks and regards
sunil kr
askIItian faculty
Kushagra Madhukar
askIITians Faculty 629 Points
one year ago
Dear student,
Please find the solution to your problem.
 
The coordinates of the triangle using the mid points of sides are
A : (0, 0)
B : (0, 2)
C : (2, 0)
Let the length of opposite sides be a, b, c.
Length of side of triangle 
a = √[(0 – 2)2 + (2 – 0)2] = 22
b = √[(0 – 2)2 + (0 – 0)2] = 2
c = √[(0 – 0)2 + (0 – 2)2] = 2
x co-ordinate of incenter = (axa + bxb + cxc)/(a + b + c)
= 22.0 + 2.0 + 2.2/(4 + 22)
= 4/(4 + 22)
= 2/(2 + 2)
= 2(2 – 2)/(4 – 2)
= 2 – 2
 
Thanks and regards,
Kushagra

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free