The area of a right angled triangle is 600cm^. if base of the base of the exceeds the altitude by 10, find the dimensions of the triangle

Question

Mathematics

Ladybug

16 August, 01:55

The area of a right angled triangle is 600cm^. if base of the base of the exceeds the altitude by 10, find the dimensions of the triangle

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Answers (1)

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Jacqueline Hanson · Answer 1

b = > base = > 40 cm

h = > altitude = > 30 cm

A = h*b/2

h=b-10

600 = (b-10) b/2

600 = (b^2-10b) / 2

1200=b^2-10b

b^2-10b-1200=0

(b-40) (b+30) = 0

b=40 cm

h=b-10 = 40-10=30