Question

22. The height of a triangle is 4 centimeters less than the base. Write a function that

Answer 1

The function is y = 1/2 x² - 2 x and the base of the triangle cannot be 3 cm.

let the base of the triangle be x

Height of the triangle = x - 4

Area of triangle = 1/2 × base × height

Area = 1/2 × x × (x-4)

Area = 1/2 (x² - 4x)

Area = 1/2 x² - 2 x

We can also write it as a function:

y = 1/2 x² - 2 x

Domain = (3 , ∞)

Range = [0, ∞)

Since 3 is not included in the domain, base of the triangle cannot be 3 cm.

Therefore, the function is y = 1/2 x² - 2 x and the base of the triangle cannot be 3 cm.

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