Question

The base of a triangle is 9 cm correct to the nearest cm. The area of this triangle is 40 cm2 correct to the nearest 5 cm2 . Calculate the upper bound for the perpendicular height of this triangle

Answer 1

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