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3 votes
The perimeters if a triangle is 747 metres. The first side is 45 meters shorter than the second side and the third side is twice the shorter side. Find the dimensions of the triangle.

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asked
User Omi
by
7.7k points

1 Answer

3 votes
let
x-----------> the first side
y-----------> the second side
z----------> the third side

we know that
x+y+z=747------> equation 1
x=y-45------> equation 2
z=2x-----> equation 3
substitute 3 in 1
x+y+[2x]=747-------> 3x+y=747--------> equation 4

resolve the system of equation 2 and equation 4
x=y-45
3x+y=747

using a graph tool
see the attached figure

the solution is
x=175.5 m
y=220.5 m
z=2x-----> z=2*175.5------> z=351 m

the answer is
x=175.5 m
y=220.5 m
z=351 m

The perimeters if a triangle is 747 metres. The first side is 45 meters shorter than-example-1
answered
User Necklondon
by
7.6k points

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