Given,
The triangle is isosceles.
The perimeter of the triangle = 57 m
The length of two equal sides of an isosceles triangle is 4meter less than twice the length of the third side.
To find,
The dimensions of the triangle.
Solution,
We can easily solve this problem by following the given steps.
According to the question,
We have:
Now,
Let's take the third side to be x m.
The two equal sides = (2x-4) m
So,
(2x-4)+(2x-4)+x = 57
5x-8 = 57
5x = 8+57
5x = 65
x = 65/5
x = 13 m
The two equal sides = (2×13-4) m
The two equal sides = (26-4) m
The two equal sides = 22 m
Hence, the two equal sides of the isosceles triangle are 22 m and the third side is 23 m.
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Answers & Comments
Given,
The triangle is isosceles.
The perimeter of the triangle = 57 m
The length of two equal sides of an isosceles triangle is 4meter less than twice the length of the third side.
To find,
The dimensions of the triangle.
Solution,
We can easily solve this problem by following the given steps.
According to the question,
We have:
The triangle is isosceles.
The perimeter of the triangle = 57 m
The length of two equal sides of an isosceles triangle is 4meter less than twice the length of the third side.
Now,
Let's take the third side to be x m.
The two equal sides = (2x-4) m
So,
(2x-4)+(2x-4)+x = 57
5x-8 = 57
5x = 8+57
5x = 65
x = 65/5
x = 13 m
The two equal sides = (2x-4) m
The two equal sides = (2×13-4) m
The two equal sides = (26-4) m
The two equal sides = 22 m
Hence, the two equal sides of the isosceles triangle are 22 m and the third side is 23 m.