An isosceles triangle has two equal side of length xcm each and a third side of 9cm. If it's perimeter is 24cm what is the van of x?
The perimeter of a isosceles triangle:
P = 2 a + b
where:
a = length of the two equal sides
b = third (unequal) side
P = 2 a + b = 24
In this case a = x , b = 9 cm.
2 x + 9 = 24
Subtract 9 to both sides
2 x + 9 - 9 = 24 - 9
2 x = 15
Divide both sides by 2
x = 7.5 cm
7.5cm
Let's assume that the equal sides of the isosceles triangle have a length of x cm each. The perimeter of the triangle is the sum of the lengths of all three sides.
Perimeter = 2 * equal sides + third side
Given that the perimeter is 24 cm and the third side is 9 cm, we can write the equation as:
24 = 2x + 9
Simplifying the equation:
2x = 24 - 9
2x = 15
x = 7.5
Therefore, the value of x is 7.5 cm.
To find the value of x in this problem, we can use the formula for the perimeter of a triangle, which is the sum of all three sides.
Let's set up the equation using the given information in the problem:
x + x + 9 = 24
Since the two equal sides have a length of x cm each, we can simplify the equation:
2x + 9 = 24
Now, we can solve for x by isolating it on one side of the equation:
2x = 24 - 9
2x = 15
Dividing both sides of the equation by 2 gives us the value of x:
x = 15 / 2
x = 7.5
Therefore, the value of x is 7.5 cm.