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3 years ago

A triangle has a base that is 4cm longer than its height.

Mathematics

1 answer:

il63 [147K]3 years ago

5 0

Answer:

a) A =( x^2 -4x)/2

b) 16 cm^2

Step-by-step explanation:

Let the base of the triangle be x cm

since it is longer, then the height would be (x-4) cm

Mathematically, the area of a triangle is the product of the base and the height divided by 2

So, we have this as;

A = 1/2(x-4)x

A = x(x-4)/2

A = (x^2 - 4x)/2

A =( x^2 -4x)/2

To find the area, we only need to substitute 8 cm for x

we have this as;

A = (8^2 -4(8))/2

A = (64-32)/2 = 32/2 = 16 cm^2

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