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bcoespnaing to the longest side.10. The perimeter of an isosceles triangle is 42 cm and its base is (3/2) times each of the equalsides, Find thelength of each side of the triangle,area of the triangle and thetriangle.11. Find te a

Answer»

Let the side of the isosceles triangle be xGIVEN3/2 x +x +x=42cm3x/2 + 2x =42(3x+4x)/2=423x+4x=847x=84x=12cmside=12cm base=18cmThe height(altitude) of an isos. trangle divides it into two rt tranglesin a rt.trangle, base²+heigrt²=hypotenuse²thus, 9²+h²=12²h=√12²-9²=√144-81 =√63 =3√7cmarea =1/2 x base x hieght =1/2 x 18 x3√7 27√7cm²



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