Home
Class 12
MATHS
If the sides of a triangle are in the ra...

If the sides of a triangle are in the ratio `3 : 7 : 8`, then find `R : r`

Text Solution

Verified by Experts

The correct Answer is:
`7 : 2`
Let `a = 3k, b = 7k, c = 8k`. Then,
`s = (1)/(2) (a + b+ c) = 9k`
`rArr (R)/(r) = (abc)/(4 Delta) (s)/(Delta) = (abcs)/(4s(s -a) (s -b) (s-c))`
`= (3k xx 7k xx 8k)/(4 xx 6k xx 2k xx k) = (7)/(2)`
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE|Exercise Exercise 5.6|6 Videos

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE|Exercise Exercise 5.7|4 Videos

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE|Exercise Exercise 5.4|5 Videos

  • PROGRESSION AND SERIES

    CENGAGE|Exercise ARCHIVES (MATRIX MATCH TYPE )|1 Videos

  • PROPERTIES OF TRIANGLE, HEIGHT AND DISTANCE

    CENGAGE|Exercise Question Bank|32 Videos

Similar Questions

Explore conceptually related problems

If the sides of a triangles are 3:7:8, then ratio R:r

If the sides of triangle are in the ratio 3 : 5 : 7 , then prove that the minimum distance of the circumcentre from the side of triangle is half the circmradius

If the sides of a triangle are in the ratio 1 : sqrt3 : 2, then the angles of the triangle are in the ratio

If the angles of a triangle are in the ratio 2 : 3 : 7 ,then the sides are in the ratio

If the angles of a triangle are in the ratio 2:3:7, then the sides opposite to the angles are in the ratio

The angles of a triangle are in the ratio 1:2:3 , then the sides of a triangle are in the ratio

If the angles of a triangle are in the ratio 1:2:3 , find the ratio between corresponding sides :