Answer:
x = 49
Step-by-step explanation:
Let's solve for x in the first triangle by applying the leg rule.
Leg rule is given as: hypotenuse/leg = leg/part
Hypotenuse = x
Leg = 28
Part = 16
Plug in the values into the equation
x/28 = 28/16
Cross multiply
x*16 = 28*28
16x = 784
x = 784/16
x = 49
✔️Let's check our answer to see if we would get the same value of x for the other triangle. Apply the same leg rule.
Hypotenuse = x
Leg = 21
Part = 9
Thus:
x/21 = 21/9
Cross multiply
x*9 = 21*21
9x = 441
x = 441/9
x = 49
✔️We have the same value. Therefore, x = 49 is the correct answer.
