Answer:
2 cm
Step-by-step explanation:
Since the height (where x is labelled) divides the base length of the triangle (evident with the two lines marking them both equal to each other) means that one of their lengths is 1.5cm or 3/2. Knowing this we can use Pythagorean theorem to find x:
x^2 + 1.5^2 = 2.5^2
x^2 = 2.5^2 - 1.5^2
x = √(2.5^2-1.5^2)
x = 2
