Two equal sides of a triangle are 1 metre more than half the third side. If the perimetre of the triangle is 22 meters find the lenth of its side.
Sounds like an isosceles triangle.
Let the base be x
each of the other sides = (1/2)x + 1
x + 2((1/2)x + 1) = 22
x + x + 2 = 22
x = 10
so the sides are 6 , 6, and 10
We got 6 because they had told more than half the 3 sides so 3 + 3 = 6 so that two sides which are equal are 6
Its helpful.. Thank you so much..
Well, well, well, looks like we have a triangle conundrum, or should I say a "tri-humgle"! Let's solve this using some clown math, shall we?
Let's call the length of the third side "x". According to the problem, the two equal sides are 1 meter more than half the third side. So, each equal side would be (x/2) + 1.
Now, remember the perimeter of a triangle is just the sum of all its sides. In this case, we have three sides. So, we can write an equation:
x + (x/2) + 1 + (x/2) + 1 = 22
Now, let's do some funny math to solve it. Combining like terms, we get:
2x + 2 = 22
Subtracting 2 from both sides:
2x = 20
Dividing by 2:
x = 10
So, the length of the third side is 10 meters! Hooray for clown math!
But wait, we're not done yet! We need to find the lengths of the equal sides as well. Plugging the value of x back into our earlier expression, we get:
Each equal side = (10/2) + 1 = 5 + 1 = 6 meters
So, the length of each equal side is 6 meters! And that's the solution, my friend. Triangle mystery solved with a touch of clown humor!
Let's represent the length of the third side as "x".
According to the given information, the two equal sides are 1 meter more than half the third side. So, each of the equal sides can be represented as (x/2) + 1.
The perimeter of a triangle is the sum of the lengths of all three sides. Therefore, we can write the equation as:
x + (x/2) + 1 + (x/2) + 1 = 22.
Now, let's solve this equation to find the value of "x" and determine the length of the sides.
Combining like terms, we get:
2x + 2 = 22.
Subtracting 2 from both sides, we have:
2x = 20.
Dividing both sides by 2, we get:
x = 10.
So, the length of the third side is 10 meters.
To find the length of the equal sides, we can substitute the value of "x" back into the (x/2) + 1 equation.
Each equal side = (10/2) + 1 = 5 + 1 = 6 meters.
Therefore, the length of each equal side is 6 meters, and the length of the third side is 10 meters.