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

If in aΔABC,Δ=a2(bc)2, then tan A is equal to

A
15/16
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
8/15
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
8/17
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
1/2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 8/15
=a2(bc)2
a=2s(b+c)
=[2s(b+c)]2(bc)2
=[4s2+(b+c)24s(b+c)](bc)2
=4s24s(b+c)+4bc
=4s24sb4sc+4bc
=4s(sb)4c(sb)(4s4c)(sb)
14=(sb)(sc)
tanA2=(sb)(sc)s(sa)
s(sa)tanA2=(sb)(sc)
Multiplying bot sides (sb)(sc)
(sb)(sc)=tanA2((sa)(sb)(sc)=)
(sb)(sc)=tanA2
tanA2=14
tanA=2tanA21tan2A2
tanA=2×141116
tanA=815

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