an isosceles right angle triangle has an area of 8 cm square find the length of hypotenuse

Dear Student,

As the triangle is right angle isosceles triangle, therefore, perpendicular and base of triangle are equal.Area of triangle = 8 cm2 12×base×height = 812×base2 = 8base2 = 16base = ±4As length cannot be in negativer,therefore, base = 4In a right angle triangle,hypotenuse2 = base2 + perpendicular2hypotenuse2 = 42 + 42hypotenuse2 = 16 + 16hypotenuse2 = 32 = 16 × 2hypotenuse = 42 cm

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