Join WhatsApp Icon CAT WhatsApp Group
Question 5

In triangle ABC, altitudes AD and BE are drawn to the corresponding bases. If $$\angle BAC = 45^{\circ}$$ and $$\angle ABC=\theta\ $$, then $$\dfrac{AD}{BE}$$ equals

Solution

Share
image


It is given, Angle BAE = 45 degrees

This implies AE = BE

Let AE = BE = x 

In right-angled triangle ABD, it is given $$\angle ABC=\theta\ $$

$$\sin\theta=\dfrac{AD}{AB}\ $$

$$\sin\theta=\dfrac{AD}{x\sqrt{\ 2}}\ $$

$$\sqrt{\ 2}\sin\theta=\dfrac{AD}{BE}\ $$

The answer is option D.

Get AI Help

Video Solution

video
View More Questions From Geometry

Create a FREE account and get:

  • All Quant CAT complete Formulas and shortcuts PDF
  • 35+ 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 Mensuration QuestionsCAT Logarithms, Surds and Indices QuestionsCAT Percentages QuestionsCAT Miscellaneous QuestionsCAT Logarithms Questions

CAT DILR Questions | LRDI Questions For CAT

CAT DI with connected data sets QuestionsCAT Charts QuestionsCAT Truth Lie Concept QuestionsCAT Venn Diagrams QuestionsCAT Coins and Weights Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Para Jumbles QuestionsCAT Vocabulary QuestionsCAT Verbal Ability QuestionsCAT Para Summary QuestionsCAT Odd One Out Questions

Free CAT Quant Questions

CAT Probability, CombinatoricsCAT RemaindersCAT InequalitiesCAT ArithmeticCAT LogarithmsCAT Functions, Graphs and StatisticsCAT Coordinate GeometryCAT Number SystemsCAT Linear EquationsCAT Time Speed DistanceCAT Progressions and SeriesCAT Time, Speed and DistanceCAT Quadratic EquationsCAT Averages Mixtures AlligationsCAT Venn DiagramsCAT MensurationCAT Logarithms, Surds and IndicesCAT AlgebraCAT Profit and LossCAT Number SeriesCAT GeometryCAT Averages, Ratio and ProportionCAT MiscellaneousCAT AveragesCAT Data SufficiencyCAT Simple Interest Compound InterestCAT PercentagesCAT Profit And LossCAT Time And Work

Related Formulas With Tests

Trignometry - Formulas and Properties

Book Free CAT Mentorship

Get personalized CAT strategy from a 99%iler

500+ students mentored
CAT mentor

Join CAT 2026 course by 5-Time CAT 100%iler

Start your IIM journey with the right preparation and crack CAT 2026.

Enroll Now
Ask AI