Math, asked by Ayushsingh4452, 1 year ago

In triangle abc ab = ac and angle b equal to 90 degree then find the radius of the circle inscribed the triangle

Answers

Answered by mersalkeerthi46
0

Answer:


Step-by-step explanation:

AD=252−72−−−−−−−√

=24

Let the radius be x

=> OD 24 - x

x2−(24−x)2=72

=>x2−x2−576+48x=49

=>48x=625

=>x=62548

2.5k Views · View 9 Upvoters · Answer requested by Amar Chand

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How can AC have two lengths : 25 and 14. The question is wrong.

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Harish Chandra Rajpoot

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Area (Δ) of isosceles ΔABC having sides AB=AC=25 & BC=14 is given by Hero’s formula

Δ=s(s−a)(s−b)(s−c)−−−−−−−−−−−−−−−−−√

setting a=14,b=25,c=25,s=a+b+c2=14+25+252=32

Δ=32(32−14)(32−25)(32−25)−−−−−−−−−−−−−−−−−−−−−−−√

=32⋅18⋅7⋅7−−−−−−−−−√

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hence the radius (R) of circle inscribing the given ΔABC is given by standard formula

R=abc4ΔABC

=14⋅25⋅254⋅168

=62548

=13.020833333333334 cm  

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