Question

Marking as brainliest

Answer 1

Answer:

x = 12.49 yd

Step-by-step explanation:

We know that the triangle has a right angle due to the symbol so that means we can use pythagoras theorem to calculate x.

$a^2 + b^2 = c^2$

However, we need to change the subject to a or b as we have the hypotenuse but not a side:

$a^2 = c^2 - b^2$

Now substitute in the known variables:

$16^2 - 10^2 = x^2$

$256 - 100 = x^2$

$156 = x^2$

Square root both sides to find x:

$\sqrt{156} = \sqrt{x^2} \\x = \sqrt{156}$

x = 12.49 yd

Hope this helps!