the length of each side of a square is 6cm. find the side of an equadrilateral triangle with its perimeter equal to that of the square
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Answer:
Perimeter of square = 4*side
so, perimeter of square is 4*6=24cm
Equilateral triangle have 3 equal.side
so, length if each side of equilateral triangle is
= 24/3=8cm
Ans will be 8 cm
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Given:
A square with
- Side = 6 cm
What To Find:
We have to find the
- Side of the equadrilateral triangle whose perimeter is equal to that of the square.
How To Find:
We have to,
- First, find the perimeter of square.
- Next, Perimeter of square = Perimeter of triangle
- Then, find the side of the triangle.
Formula:
- Perimeter of square = 4 × side
- Perimeter of equidraletral triangle = 3 × side
Solution:
- Finding the perimeter of square.
Using the formula,
⇒ Perimeter = 4 × side
Substitute the values,
⇒ Perimeter = 4 × 6 cm
Mulitiply 4 by 6 cm,
⇒ Perimeter = 24 cm
∴ Thus, the perimeter of sqaure is 24 cm.
- Finding the side of the triangle.
As we know that,
⇒ Perimeter of square = Perimeter of triangle
Also written as,
⇒ 24 cm = 24 cm
So substitute the formula of triangle,
⇒ 24 cm = 3 × side
Take 3 to LHS,
⇒
Divide 24 by 3,
⇒ 8 cm = side
∴ Thus, the side of the equilateral triangle is 8 cm.
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