The base of an isosceles triangle is 4/3 cm. the perimeter of the triangle is 4 2/15 cm. what is
the length of either of the Remaining equal sides ?
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Answer :
- 1 ⅖ is the length of either of the remaining equal sides
Given :
- The base of an iscoscles triangle is 4/3 cm
- The perimeter of the triangle is 4 2/15 cm
To find :
- The length of either of the remaining equal sides
Solution :
- Let the triangle ABC be an iscoscles triangle
- Base will be bc = 4/3cm
- Let the AB be x
- Let the AC be x
Because two sides of isosceles triangle are equal
Given,
- Perimeter is 4 2/15 cm
➟ Perimeter = 4 2/15
➟ 4 × 15 + 2 / 15
➟ 60 + 2 / 15
➟ 62/15
Perimeter is 62/15
Now,
- Perimeter = Sum of sides
➟ 62/15 = AB + AC + BC
➟ 62/15 = x + x + 4/3
➟ 62/15 = 2x + 4/3
➟ 2x + 4/3 = 62/15
➟ 2x = 62/15 - 4/3
➟ 2x = 62 - 4 × 5 / 15
➟ 2x = 62 - 20 / 15
➟ 2x = 42/15
➟ x = 42/15 × 1/2
➟ x = 21/15
➟ x = 7/5
➟ x = 1 ⅖
Hence,1 ⅖ is the length of either of the remaining equal sides
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