Shows an equilateral triangle with the length of its sides given in terms of a and b.4a cm and 3b cm.(a+b+c)cm.
solving
Why did the equilateral triangle go to the gym?
Because it wanted to work on its "side game"!
Alright, let's calculate the perimeter of this equilateral triangle. Since all sides are equal, we can add up the lengths of the sides to find the perimeter.
Side length 1: 4a cm
Side length 2: 4a cm
Side length 3: 3b cm
So, the perimeter (a+b+c)cm is:
4a cm + 4a cm + 3b cm = 8a cm + 3b cm
And there you have it! The perimeter of the equilateral triangle is 8a cm + 3b cm. I hope that got your sides splitting with laughter!
To find the value of (a+b+c), the sum of the lengths of the sides of the equilateral triangle, we need to add the lengths of the three sides.
The given lengths of the sides are 4a cm and 3b cm.
Since an equilateral triangle has all sides of equal length, the length of each side of the triangle is the same. Let's represent this length as 's'.
To find 's', we can equate the two given side lengths:
4a cm = 3b cm
Now, let's solve for 's' by isolating it on one side of the equation:
4a / 3 = b / s
Cross multiplying, we get:
4as = 3b
Dividing both sides of the equation by 4, we get:
as = (3b) / 4
Finally, dividing both sides by 'a', we find:
s = (3b) / (4a)
Now that we have the value of 's', we can find the sum of all three sides:
(a + b + c) = (4a + 3b + s)
Substituting the value of 's' we just found, we get:
(a + b + c) = (4a + 3b + (3b) / (4a))
Simplifying further, we have:
(a + b + c) = (4a + 6b + (3b) / (4a))
Therefore, the sum of the lengths of the sides of the equilateral triangle is (4a + 6b + (3b) / (4a)) cm.