Please enter the following details
Free Daily Targets & Mocks
Study Material & Formulas PDFs
1 on 1 Mentorship
Question 15
In the following diagram, if the shaded area is one half the area of triangle ABC and angle ABC is right angle then the length of line segment AD is
Solution
In the question, it is given that area of triangle ABC is 2 times the area of triangle ABD.
$$\frac{1}{2}x\left(y+z\right)=2\left(\frac{1}{2}xy\right)$$
y + z = 2y
y = z
Triangles ABC and ABD are right-angled triangles.
$$W^2=x^2+4y^2$$
$$W^2=x^2+y^2+3y^2$$
$$AD^2=x^2+y^2$$
$$AD^2=W^2-3y^2$$
$$AD=\sqrt{\ W^2-3y^2}$$
The answer is option C.
Video Solution
Create a FREE account and get:
- All Quant Formulas and shortcuts PDF
- 40+ previous papers with detau solutions PDF
- Top 500 MBA exam Solved Questions for Free
CMAT Quant Questions | CMAT Quantitative Ability
CMAT Averages, Ratio and Proportion QuestionsCMAT Time, Distance and Work QuestionsCMAT Probability, Combinatorics QuestionsCMAT Data Sufficiency QuestionsCMAT Venn Diagrams Questions
CMAT DILR Questions | LRDI Questions For CMAT
CMAT Arrangement QuestionsCMAT Innovation and Entrepreneurship QuestionsCMAT Charts QuestionsCMAT Data Interpretation QuestionsCMAT Data Interpretation Basics Questions
