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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