Ascent TANCET Classes

Geometry : Right Triangle Properties

This aptitude practice question is a Geometry problem solving question. Concept tested: Pythagorean Triplets, properties of right triangles and method to compute circumradius of a right triangle.

Question

What is the measure of the circum radius of a triangle whose sides are 9, 40 and 41?

  1. 6
  2. 4
  3. 24.5
  4. 20.5

  Correct Answer      Choice (4). 20.5


Explanatory Answer

From the measure of the length of the sides of the triangle, 9, 40 and 41 we can infer that the triangle is a right angled triangled. 9-40-41 is a Pythagorean triplet.
In a right angled triangle, the circum radius is half the hypotenuse.
In the given triangle, the hypotenuse = 41.
Therefore, the circum radius = \\frac{41}{2}) = 20.5 units.

  The correct answer is Choice (4).

Online TANCET MBA Course
Try it Free!

Register in 2 easy steps and start learning in 5 minutes!

★ Sign up for Free

Already have an Account?

★ Login to Continue

TANCET MBA Coaching in Chennai

Next Weekend Batch
Starts Sun, Oct 20, 2019

★ TANCET Class Info

XAT TANCET Practice Questions - Listed Topic wise

Contact Us

Ascent Education
14B/1 Dr Thirumurthy Nagar I Street
Nungambakkam, Chennai 600 034
E mail: ascent@ascenteducation.com
Phone: +91 44 4500 8484
Mobile: +91 96000 48484