An isosceles right-angled triangle has an area of 900 cm2. What is the length of the hypotenuse?

Dear Student.

Since, this is an isosceles triangle, height=base.Since area of triangle=12×base×heightTherefore equating it with the given area:12×base2=900base=900×2=302 cmheight=302 cmBy Pythagoras Theorem:Hypotenuse=base2+height2=(302)2+(302)2=1800+1800=3600=60 cmTherefore the length of hypotenuse is 60 cm

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