A toy manufacturer needs a piece of plastic in the shape of a right triangle with one leg 6 cm longer than the other and the hypotenuse 12 cm longer than the shorter leg. What is the perimeter of the triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted Δ ABC.

Here, Assume that shorter leg = x cm

then, the longer leg = (x+3) cm and slope = (x+6) cm

By Pythagoras theorem,

x² + (x+3)² = (x+6)²

x² + x² + 9 + 6x = x² + 36 + 12x

x² - 6x - 27 = 0

x² - 9x + 3x -27 = 0

x(x-9) +3(x-9) = 0

(x-9) (x+3) = 0

x = 9 or x = -3

but x can't be negative.

so we take x = 9.

The perimeter = Sum of all side

P = (x + x+3 + x+6)

P = 3x + 9

P = 3 X 9 + 9

P = 27 + 9

P = 36

Thus, the perimeter of the triangle with given dimension is 36 m.

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A toy manufacturer needs a piece of plastic in the shape of a right triangle with one leg 6 cm longer than the other and the hypotenuse 12 cm longer than the shorter leg. What is the perimeter of the​ triangle?

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A toy manufacturer needs a piece of plastic in the shape of a right triangle with one leg 6 cm longer than the other and the hypotenuse 12 cm longer than the shorter leg. What is the perimeter of the triangle?