Two equal sides of an isosceles triangle are (3x – 1) and (2x + 2) units. the third side is 2x units. Perimeter of the triangle is
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Answer:
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ANSWER
In isosceles triangle two sides are equal,
So,
3x-1=2x+2
x=3
Perimeter=sum of all sides
=3x-1+2x+2+2x
=7x+1
Substituting value of x
Perimeter=7(3)+1
=21+1
=22
Thus x=3 and Perimeter of a triangle=22 square units
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Step-by-step explanation:
✠ Question :
- Two equal sides of an isosceles triangle are (3x – 1) and (2x + 2) units. the third side is 2x units. Perimeter of the triangle is.
✠ To find :
- The value of x and the perimeter of the triangle.
✠ Solution :
Given -:
- First side = (3x - 1) units
- Second side = (2x + 2) units
As we know,
Two sides of an isosceles triangle are same.
According to the question,
➻ 3x - 1 = 2x + 2
⇒ 3x - 2x = 2 + 1
⇒ x = 3
Hence, the value of x = 3
━━━━━━━━━━━━━━━
∵ First side = Second side = (3x - 1)
= 3 × 3 - 1
= 8 units
➨ Third side = 2x
= 2 × 3
= 6 units
➨ Perimeter of the triangle = 8 + 8 + 6
= 22 units
Hence, the perimeter of the triangle is 22 units.
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