in triangle ABC ,AC+BC = 28,AB+BC=32 and AC+AB=36. determine the type of triangle ABC
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1
Isocles traingle is answer of this question
gabani:
right angled triangle
oh!
sorry
c is right angle
you are right
okk
can u prove it
what
Answered by
15
AC+BC=28⇒BC=28-AC
AB+BC=32⇒AB=32-BC=32-(28-AC)=32-28+AC=4+AC
AC+AB=36⇒AC=36-AB=36-(4+AC)=36-4-AC=32-AC
AC=32-AC
⇒AC+AC=32
⇒2AC=32⇒AC=32/2=16
BC=28-AC=28-16=12
AB=4+AC=4+16=20
16²+12²=20²
AC²+BC²=AB²
ΔABC is right angled Δ.
AB+BC=32⇒AB=32-BC=32-(28-AC)=32-28+AC=4+AC
AC+AB=36⇒AC=36-AB=36-(4+AC)=36-4-AC=32-AC
AC=32-AC
⇒AC+AC=32
⇒2AC=32⇒AC=32/2=16
BC=28-AC=28-16=12
AB=4+AC=4+16=20
16²+12²=20²
AC²+BC²=AB²
ΔABC is right angled Δ.
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