wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If in a ABC,r1=2,r2=3, and r3=6, then a equals


A

4

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

1

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

2

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

3

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D

3


Explanation for the correct option:

Step 1. Find the value of s.

It is known that =r1s-a=r2s-b=r3s-c.

Now for =r1s-a:

=2s-a2+a=s...(1)

Similarly for =r2s-b it is found that 3+b=s...(2).

And for =r3s-c it is found that 6+c=s...(3).

Now, add the three equations 1,2, and 3.

2+a+3+b+6+c=s+s+s2+3+6+a+b+c=3s3+2+6+2s=3s[s=a+b+c2]66=s=s

Step 2. Find the value of a.

The Heron's formula =ss-as-bs-c can be simplified as:

=·2·3·6s=,=r1(s-a)=r2(s-b)=r3(s-c)=462=266=

Now, using =6 , s==6 and equation 1 the value of a can be given as:

a=s-2=6-62=6-3=3

So the value of a is 3.

Hence, the correct option is D.


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Rate of Change
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon