RRB NTPC Mains or Stage 2 Model Paper 7 with solutions

Question : 11 of 120

Marks: +1, -0

If A is the area of a right angled triangle and b is one of the sides containing the right angle, then what is the length of the altitude on the hypotenuse?

${2AB}/√{b^4+4A^2}$
${2A^2b}/√{b^4+4A^2}$
${2Ab^2}/√{b^4+4A^2}$
${2A^2b^2}/√{b^4+4A^2}$

Validate

Solution:

(a) (a)rea of Δ (a)(b)(c), (a)

=1/2×b× AB

(a)(b) ={2A}/b ... (i)

(b)y Phthagoras theorem,

(a)(^{c)^2} = (a)(^{b)^2} +(b)(^{c)^2}

(a)(c) =√{{4A^2}/b^2 + b^2}

(a)gain in Δ(a)(b)(c)

(a) =1/2× AC ×BD

(b)D = {2A}/√{{4A^2}/b^2+b^2/1}= {2A}/√{{4A^2+b^4}/b^2}

={2Ab}/√{4A^2+b^4}

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