Home
Class 11
MATHS
In a triangle ABC if a: b: c= 4:5:6 then...

In a triangle ABC if a: b: c= 4:5:6 then ratio between its circumradius and inredius is

A

`16/7`

B

`16/9`

C

`7/16`

D

`11/7`

Text Solution

AI Generated Solution

To find the ratio between the circumradius (R) and the inradius (r) of triangle ABC where the sides are in the ratio \( a : b : c = 4 : 5 : 6 \), we can follow these steps: ### Step 1: Express the sides in terms of a variable Let the sides of the triangle be: - \( a = 4k \) - \( b = 5k \) - \( c = 6k \) ...
Promotional Banner

Topper's Solved these Questions

  • Solutions of Triangle & Binomial Theorem

    ALLEN|Exercise Illustration|28 Videos

  • Solutions of Triangle & Binomial Theorem

    ALLEN|Exercise EXERCISE-I|28 Videos

  • SOLUTION AND PROPERTIES OF TRIANGLE

    ALLEN|Exercise All Questions|106 Videos

  • TRIGNOMETRIC RATIOS AND IDENTITIES

    ALLEN|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

In a triangle A B C , if a : b : c=4:5:6 , then ratio between its circumradius and inradius is (a) (16)/7 (b) (16)/9 (c) 7/(16) (d) (11)/7

In a right - angled isosceles triangle , the ratio of the circumradius and inradius is

In triangle A B C ,a : b : c=4:5: 6. The ratio of the radius of the circumcircle to that of the incircle is____.

In triangle A B C ,a : b : c=4:5: 6. The ratio of the radius of the circumcircle to that of the incircle is____.

In a right-angled isosceles triangle, the ratio of the circumradius and inradius is

In a Delta ABC, if a =3, b=4, c=5, then find the distance between its incentre and circumcentre.

A triangle has its sides in the ratio 4:5:6 , then the ratio of circumradius to the inradius of the triangle is

In triangle ABC , if a=3, b=4, and c=5, then find the value of cosA.

In triangle ABC, R (b + c) = a sqrt(bc) , where R is the circumradius of the triangle. Then the triangle is

In triangle ABC, let angle C = pi//2 . If r is the inradius and R is circumradius of the triangle, then 2(r + R) is equal to