Call 96000 48484 for details and to sign up
Geometry Practice : Circumradius
This aptitude question is geometry problem solving question. Concept tested: Properties of right triangles; how to compute the radius of the circumscribing circle of triangle whose sides are given.
Question
2. Circumradius computation 2 concepts
What is the circum radius of a triangle whose sides are 7, 24 and 25 respectively?
- 18
- 12.5
- 12
- 14
Correct Answer Choice (2). The circumradius of the triangle measures 12.5 units
Explanatory Answer
7, 24, 25 is a Pythagorean triplet. Therefore, the given triangle is a right angled triangle.
In a right-angled triangle, the circum radius measures half the hypotenuse.
The hypotenuse of the given triangle is 25. ∴ its circum radius is 12.5 units
Additional Property: The median to the hypotenuse will also be equal to half the hypotenuse and will measure the same as the circumradius.
The correct answer is Choice (2).
Online TANCET MBA Course
Try it Free!
Register in 2 easy steps and start learning in 5 minutes!
Already have an Account?
XAT TANCET Practice Questions - Listed Topic wise
- Number Theory
- Permutation Combination
- Probability
- Inequalities
- Geometry
- Coordinate Geometry
- Mensuration
- Trigonometry
- Data Sufficiency
- Percentages
- Profit Loss
- Ratio Proportion
- Mixtures & Alligation
- Speed Distance & Time
- Pipes, Cisterns & Work, Time
- Simple & Compound Interest
- Races
- Averages & Statistics
- Progressions : AP, GP & HP
- Set Theory
- Clocks Calendars
- Linear & Quadratic Equations
- Functions
- English Grammar
- General Awareness