Answer
x = 18 cm
Step-by-step explanation:
Here, we want to calculate the value of x
let half of x = b
so b is the base of each right-triangle
As we can see, the triangle is isosceles
we can calculate the length of the base of one of the smaller right angled triangle and multiply by 2 to get the full x length
According to Pythagoras’ , the square of the hypotenuse equals the sum of the squares of the two other sides
15^2 = 12^2 + b^2
225 = 144 + b^2
b^2 = 225-144
b^2 = 81
b = √81
b = 9
but x = 2b
x = 2(9)
x = 18 cm
