Please enter the following details
Free Daily Targets & Mocks
Study Material & Formulas PDFs
1 on 1 Mentorship
Question 9
In triangle ABC, the internal bisector of $$\angle{A}$$ meets BC at D. If AB = 4, AC = 3 and $$\angle{A}$$ = 60° , then the length of AD is
Solution
By using cosine rule we can find BC = $$\sqrt{13}$$ . By angle bisector theorem we have BA / BD = AC / DC . Also BD + DC = $$\sqrt{13}$$. So by substitution we get we get BD = 4*$$\sqrt{13}$$/7 . Now using cosine rule in triangle ABD taking AD = x, we get
$$x^2 - 4*\sqrt3*x + 16*(36/49) = 0$$. Solving the equation we get x = $$\frac{12\sqrt 3}{7}$$ .
Video Solution
Create a FREE account and get:
- All Quant CAT complete Formulas and shortcuts PDF
- 38+ CAT previous year papers with video solutions PDF
- 5000+ Topic-wise Previous year CAT Solved Questions for Free
CAT Quant Questions | CAT Quantitative Ability
CAT Profit, Loss and Interest QuestionsCAT Remainders QuestionsCAT Geometry QuestionsCAT Averages Mixtures Alligations QuestionsCAT Averages Questions
CAT DILR Questions | LRDI Questions For CAT
CAT Data Interpretation QuestionsCAT Selection With Condition QuestionsCAT Charts QuestionsCAT DI Miscellaneous QuestionsCAT Special Charts Questions
