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
Menu
Nishtha Gahlot Grade: 12
        
In a triangle C=90. If r is the in-radius and R is the circum-radius,then prove that (2r+R) is equal to a a+b-c/2.
one year ago

Answers : (1)

mycroft holmes
271 Points
										
Let the perps from incentre I to BC, AB and AC be D, E and F resp. The FCDI is a square of side r. Then AF = AE = b-r (tangents from A to the incircle) and similarly, BD = BE = a-r. Then c=  AB = AD+BD = a+b-2r.
 
Now AB is the diameter of the circumcircle, and hence we have c = 2R, so that R = c/2
 
Thus 2R = a+b – 2r or 2r+R = a+b – R = a+b – c/2
one year ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies
  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: Rs. 15,900
  • View Details

Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details