Question

the hypotenuse of a right angle is 17 cm long if one of the remaining two sides is of length 8 cm find the length of third side

Answer 1

Let the another side be x
By Pythagoras theorem
h^2=p^2 + b^2
(17)^2 = (8)^2 + (x)^2
289=64+(x)^2
289-64=x^2
225=x^2
under root 225 = x
15 cm =x
:-The length of third side is 15 cm...
Hope my answer will help you

Answer 2

In a right angle triangle there are hypotenuse, perpendicular and base


Hypotenuse = 17cm { Given }

Let perpendicular be 8cm,

Now, Using Pythagoras theorem,

(Hypotenuse) ² =( Perpendicular) ² + ( Base ) ²

=>( 17)² =( 8)² + (Base)²

=> 289 = 64 + (Base)²

=> 225 = (Base)²

=> √225 = base

=> 15 = Base

Therefore, the base is 15cm.

Hence, third side = 15cm



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Hope it helps:-

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