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The base of a triangle is 9cm correct to the nearest cmThe are of this triangle is 40 cm² correct to the nearest 5 cm²Calculate the upper bound for the perpendicular height of this triangle

Answer» AREA of triangle is 40 cm² CORRECT to nearest 5cm² .
∴ Area of triangle = ( 40 ± 5) cm²
∴ upper bound for area of triangle is = (40 + 5) cm² = 45cm²
Base of triangle = 9cm

∵ area of triangle = 1/2 base × height
height = 2 × area of triangle/base

∴ upper bound for height of triangle = 2 × upper bound area/base
= 2 × 45/9 = 10CM

Hence ANSWER is 10cm


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