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jolli1 [7]
2 years ago
13

One side of a triangle is half the longest side. The third side is

Mathematics
1 answer:
Illusion [34]2 years ago
4 0

Answer:

The length of the sides are 9 units, 18 units and 11 units

Step-by-step explanation:

Let

x ----> one side of the triangle

y ----> the longest side of the triangle

z ----> the third side of the triangle

we know that

The perimeter of triangle is equal to

P=x+y+z

we have

P=38\ units

so

38=x+y+z ----> equation A

x=\frac{y}{2} -----> equation B

z=y-7 ----> equation C

substitute equation B and equation C in equation A

38=\frac{y}{2}+y+(y-7)

solve for y

38=\frac{5}{2}y-7

\frac{5}{2}y=38+7

\frac{5}{2}y=45

y=45(2)/5

y=18\ units

<em>Find the value of x</em>

x=\frac{y}{2} ---> x=\frac{18}{2}=9\ units

<em>Find the value of z</em>

z=y-7 ----> z=18-7=11\ units

therefore

The length of the sides are 9 units, 18 units and 11 units

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