Login

if hypotenuse is a cm ,base is 6 cm and perpendicular is 8cm find the value of a in right angle triangle

Answer :

Given :  Hypotenuse =  a cm ,  Base ( Adjacent ) =  6 cm and Perpendicular ( Opposite ) = 8  cm

In right angle triangle we apply  Pythagoras theorem , As :

( Hypotenuse )2 = ( Opposite )2 + ( Adjacent )2

a 2 = 82 + 62 

a 2 = 64 + 36

a 2 = 100

a 2 = 102  

a  = 10 cm                                                                ( Ans )
 

  • 0
View Full Answer
no answer will come because hypotenuse should be bigger than any side
  • 1
Let The Right angled triangle be ABC , right angled at B ,
Therefore AB = 8 cm , BC = 6 cm , AC = a cm 
By pythagoras theorem , 
In triangle ABC , 
AB2  +  BC2  =  AC2
82 + 62 =  AC2
AC2  =  64 + 36
         =   100
AC  =   10 cm 
 
  • 0
h^2 = p^2 + b^2
a^2 = 8^2 + 6^2
= 64 + 36
= 100
a = √100 = √10×10= 10
  • 0
What are you looking for?