Question

Find the unknown side length, x. Write your answer in simplest radical form.

Answer 1

Use Pythagorean Theorem! Hope this helps you (:

Answer 2

Answer:  The required value of x is 32.

Step-by-step explanation:  We are given to find the length of the unknown side.

That is, x = ?

From the figure, we see a right-angled triangle with

length of the hypotenuse, h = 68 units,

length of the other two sides, a = 60 units and b = x.

Using Pythagoras theorem in the given right-angled triangle, we have

$h^2=a^2+b^2\\\\\Rightarrow 68^2=60^2+x^2\\\\\Rightarrow x^2=68^2-60^2\\\\\Rightarrow x^2=4624-3600\\\\\Rightarrow x^2=1024\\\\\Rightarrow x=\pm32.$

Since x is the length of a side of the triangle, so it cannot be negative.

Therefore, x = 32 units.

Thus, the required value of x is 32.