Maths / Constructions / Construction of Triangle using RHS Criteria

QUESTION

If the two legs of a right angled $\Delta$ le are equal and the square of the hypotenuse is 100 then the length of each leg is

 OPTIONS A. 10 B. $5\sqrt{2}$ C. $10\sqrt{2}$ D. None
Right Option : B

EXPLANATION
Explain TypeExplanation Content
Text

We have

$x^2+x^2=\, \, \, \, \, \, 100\\\\ 2x^2\, \, \, \, \, \, \, \, \,\, \, \, \, \, \, \, \, \, =100\\\\ x^2\, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \,\, \, =50\\\\ x\, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, \, =\sqrt{50}=\sqrt{25\times 2}=5\sqrt{2}.$

View Contents
(Concept based Learning and Testing for [6th - 10th], NTSE, Bank & Govt. Exams)
Self Learning
Testimonials
STUDENT FEEDBACK - Anika Saxena C/o ABHYAS Academy
8th
Usually we see institutes offering objective based learning which usually causes a lag behind in subjective examinations which is the pattern followed by schools. I think it is really a work of planning to make us students grab the advantages of modes of examination, Objective Subjective and Online as well.

#### Other Testimonials

Courses We Offer
(Concept based Learning and Testing for [6th - 10th], NTSE, Bank & Govt. Exams)