Q. 74.6( 5 Votes )

Find the length o

Answer :

As given in the question, the triangle is right angled isosceles.


Isosceles means two sides having the same length.


Let the base of the triangle be of length a which implies altitude’s length also equal to a.


So we get AB = a cm and BC = a cm


Now by Pythogare’s Theorem we know that


(Hypotenuse)2 = (base)2 + (altitude)2


(AC)2 = (AB)2 + (BC)2


(AC)2 = a2 + a2


(AC)2 = 2a2


AC =


Also it is given that area of triangle is 200 cm2.


Now the area of right-angled triangle is given by


=




Length of base = altitude = 20 cm.


Now Length of hypotenuse =


Length of hypotenuse =


= 20×1.414


= 28.28 cm


Length of hypotenuse = 28.28cm.


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