In triangle ABC , if BC = 3, CA=4, AB= 5 cos angle BAC is _______________,
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❄️ ANSWER ❄️
- AE 2= 973
❄️ SOLUTION ❄️
BD=DE=EC=
35 and △ABC is a right angled triangle.
Now
cosC= .AC.EC
AC 2+EC 2−AE 2
Or
AE 2=AC 2 +EC 2 −2.AC.EC.cosC
Or
=4 2+( 35) 2 −2.8. 35.cosC
=16+ 925 − 3
2×4×5. 54
Or
= 9169− 332
= 9169−96
= 973 .
Hence
AE
2= 973
AE.4
AE
2+4
2 − 35
•(AE 2= 973)•
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