In triangle abc ab = ac and angle b equal to 90 degree then find the radius of the circle inscribed the triangle
Answers
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
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Hungenahalli Sitaramarao Badarinath
Hungenahalli Sitaramarao Badarinath, Ph.D. in Civil Engineering. Maths keeps one mentally active.
Answered Feb 24, 2017 · Author has 14.5k answers and 4.9m answer views
How can AC have two lengths : 25 and 14. The question is wrong.
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Harish Chandra Rajpoot
Harish Chandra Rajpoot, authored 'Advanced Geometry' on research articles in Mathematics & Radiometry
Answered Jun 17, 2018 · Author has 845 answers and 1.5m answer views
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−−−−−−−−−√
=8⋅3⋅7
=168
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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