CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

In triangle XYZ, r is the radius of the incircle, R is the radius of the circumcircle and A is the area of the triangle. If h1,h2 and h3 are the 3 altitudes of the triangle, then
1h1+1h2+1h3=?


Your Answer
A
r/A
Your Answer
B
1/R
Correct Answer
C
1/r
Your Answer
D
R/A

Solution

The correct option is A 1/r

Let a = side, h = height,

Since no conditions are mentioned and only variables are used, we can assume an equilateral triangle.

Let r =1. Then R = 2., h = 3. In an equilateral triangle r : R : h = 1 : 2 : 3

Side a = 2 3; Area= 3a24= 33.

1h1=1h2=1h3=13. Sum = 1

Only option c gives 1.

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
View More


People also searched for
View More



footer-image