Question

what is the value of x ?
4x
15
25

Explanation:

Step1: Apply Pythagorean theorem

In a right triangle, \( a^2 + b^2 = c^2 \), where \( c \) is hypotenuse, \( a,b \) are legs. Here, \( a = 4x \), \( b = 15 \), \( c = 25 \). So \( (4x)^2 + 15^2 = 25^2 \).

Step2: Simplify the equation

\( 16x^2 + 225 = 625 \). Subtract 225: \( 16x^2 = 400 \). Divide by 16: \( x^2 = 25 \). Take square root: \( x = 5 \) (positive as length).

Answer:

\( 5 \)