Question

Find the unknown side of the triangle below A. 4cm B. 3cm C. 9cm D. 19cm

Answer 1

Answer:

C - 9 cm

Step-by-step explanation:

We can use the Pythagorean theorem to figure out the missing side length, in this case, X.

The Pythagorean theorem states: a^2 + b^2 = c^2, with c being the hypotenuse. We have the side length of the hypotenuse which is 15, and we have another side length of 12. Let's put these back in our equation:

a^2 + 12^2 = 15^2;

If we simplify the squares by simply doing them: a^2 + 144 = 225;

Now let's subtract 144 from both sides to isolate the variable, a:

a^2 = 81;

Now we square both sides to find a:

a = 9

The missing side length is 9 cm.