The length of each of the two congruent sides an isosceles triangle is 2x + 3. The length of the third side is 2x. Its perimeter is 36 cm. Find the value of x.
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refer the attachment for step by step explanation.
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Answer:
5
Explanation:
Given :
- Length of each of the two congruent sides of isosceles triangle = 2x + 3
- The length of the third side = 2x
To Find :
The value of x
Solution :
a = length of the two equal sides
b = Base of the isosceles triangle
Perimeter of an isosceles triangle = 2a + b
=> 2(2x + 3) + 2x = 36
=> 4x + 6 + 2x = 36
=> 6x + 6 = 36
=> 6x = 36 - 6
=> 6x = 30
=> x = 5
Therefore, the value of x is 5
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